Question
Solve the equation
x=−1
Evaluate
6(3x+2)−5(6x−1)=3(x−8)−5(7x−6)+9x
Move the expression to the left side
6(3x+2)−5(6x−1)−(3(x−8)−5(7x−6)+9x)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6(3x+2)−5(6x−1)−3(x−8)+5(7x−6)−9x=0
Calculate the sum or difference
More Steps

Evaluate
6(3x+2)−5(6x−1)−3(x−8)+5(7x−6)−9x
Expand the expression
More Steps

Calculate
6(3x+2)
Apply the distributive property
6×3x+6×2
Multiply the numbers
18x+6×2
Multiply the numbers
18x+12
18x+12−5(6x−1)−3(x−8)+5(7x−6)−9x
Expand the expression
More Steps

Calculate
−5(6x−1)
Apply the distributive property
−5×6x−(−5×1)
Multiply the numbers
−30x−(−5×1)
Any expression multiplied by 1 remains the same
−30x−(−5)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−30x+5
18x+12−30x+5−3(x−8)+5(7x−6)−9x
Expand the expression
More Steps

Calculate
−3(x−8)
Apply the distributive property
−3x−(−3×8)
Multiply the numbers
−3x−(−24)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−3x+24
18x+12−30x+5−3x+24+5(7x−6)−9x
Expand the expression
More Steps

Calculate
5(7x−6)
Apply the distributive property
5×7x−5×6
Multiply the numbers
35x−5×6
Multiply the numbers
35x−30
18x+12−30x+5−3x+24+35x−30−9x
Calculate the sum or difference
More Steps

Evaluate
18x−30x−3x+35x−9x
Collect like terms by calculating the sum or difference of their coefficients
(18−30−3+35−9)x
Calculate the sum or difference
11x
11x+12+5+24−30
Calculate the sum or difference
11x+11
11x+11=0
Move the constant to the right-hand side and change its sign
11x=0−11
Removing 0 doesn't change the value,so remove it from the expression
11x=−11
Divide both sides
1111x=11−11
Divide the numbers
x=11−11
Solution
More Steps

Evaluate
11−11
Reduce the numbers
1−1
Calculate
−1
x=−1
Show Solution

Rewrite the equation
x=−1
Evaluate
6(3x+2)−5(6x−1)=3(x−8)−5(7x−6)+9x
Evaluate
More Steps

Evaluate
6(3x+2)−5(6x−1)
Expand the expression
More Steps

Calculate
6(3x+2)
Apply the distributive property
6×3x+6×2
Multiply the numbers
18x+6×2
Multiply the numbers
18x+12
18x+12−5(6x−1)
Expand the expression
More Steps

Calculate
−5(6x−1)
Apply the distributive property
−5×6x−(−5×1)
Multiply the numbers
−30x−(−5×1)
Any expression multiplied by 1 remains the same
−30x−(−5)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−30x+5
18x+12−30x+5
Subtract the terms
More Steps

Evaluate
18x−30x
Collect like terms by calculating the sum or difference of their coefficients
(18−30)x
Subtract the numbers
−12x
−12x+12+5
Add the numbers
−12x+17
−12x+17=3(x−8)−5(7x−6)+9x
Evaluate
More Steps

Evaluate
3(x−8)−5(7x−6)+9x
Expand the expression
More Steps

Calculate
3(x−8)
Apply the distributive property
3x−3×8
Multiply the numbers
3x−24
3x−24−5(7x−6)+9x
Expand the expression
More Steps

Calculate
−5(7x−6)
Apply the distributive property
−5×7x−(−5×6)
Multiply the numbers
−35x−(−5×6)
Multiply the numbers
−35x−(−30)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−35x+30
3x−24−35x+30+9x
Calculate the sum or difference
More Steps

Evaluate
3x−35x+9x
Collect like terms by calculating the sum or difference of their coefficients
(3−35+9)x
Calculate the sum or difference
−23x
−23x−24+30
Add the numbers
−23x+6
−12x+17=−23x+6
Move the variable to the left side
11x+17=6
Move the constant to the right side
11x=−11
Solution
x=−1
Show Solution
