Question
Solve the equation
x=4
Evaluate
15x−3(3x−2)=45−5(2x−5)
Move the expression to the left side
15x−3(3x−2)−(45−5(2x−5))=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
15x−3(3x−2)−45+5(2x−5)=0
Calculate the sum or difference
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Evaluate
15x−3(3x−2)−45+5(2x−5)
Expand the expression
More Steps

Calculate
−3(3x−2)
Apply the distributive property
−3×3x−(−3×2)
Multiply the numbers
−9x−(−3×2)
Multiply the numbers
−9x−(−6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−9x+6
15x−9x+6−45+5(2x−5)
Expand the expression
More Steps

Calculate
5(2x−5)
Apply the distributive property
5×2x−5×5
Multiply the numbers
10x−5×5
Multiply the numbers
10x−25
15x−9x+6−45+10x−25
Calculate the sum or difference
More Steps

Evaluate
15x−9x+10x
Collect like terms by calculating the sum or difference of their coefficients
(15−9+10)x
Calculate the sum or difference
16x
16x+6−45−25
Subtract the numbers
16x−64
16x−64=0
Move the constant to the right-hand side and change its sign
16x=0+64
Removing 0 doesn't change the value,so remove it from the expression
16x=64
Divide both sides
1616x=1664
Divide the numbers
x=1664
Solution
More Steps

Evaluate
1664
Reduce the numbers
14
Calculate
4
x=4
Show Solution

Rewrite the equation
x=4
Evaluate
15x−3(3x−2)=45−5(2x−5)
Evaluate
More Steps

Evaluate
15x−3(3x−2)
Expand the expression
More Steps

Calculate
−3(3x−2)
Apply the distributive property
−3×3x−(−3×2)
Multiply the numbers
−9x−(−3×2)
Multiply the numbers
−9x−(−6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−9x+6
15x−9x+6
Subtract the terms
More Steps

Evaluate
15x−9x
Collect like terms by calculating the sum or difference of their coefficients
(15−9)x
Subtract the numbers
6x
6x+6
6x+6=45−5(2x−5)
Evaluate
More Steps

Evaluate
45−5(2x−5)
Expand the expression
More Steps

Calculate
−5(2x−5)
Apply the distributive property
−5×2x−(−5×5)
Multiply the numbers
−10x−(−5×5)
Multiply the numbers
−10x−(−25)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−10x+25
45−10x+25
Add the numbers
70−10x
6x+6=70−10x
Move the variable to the left side
16x+6=70
Move the constant to the right side
16x=64
Solution
x=4
Show Solution
