Question
Solve the equation
x=31
Alternative Form
x=0.3˙
Evaluate
8x−3(5x−2)=7−10x
Move the expression to the left side
8x−3(5x−2)−(7−10x)=0
Subtract the terms
More Steps

Evaluate
8x−3(5x−2)−(7−10x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
8x−3(5x−2)−7+10x
Add the terms
More Steps

Evaluate
8x+10x
Collect like terms by calculating the sum or difference of their coefficients
(8+10)x
Add the numbers
18x
18x−3(5x−2)−7
18x−3(5x−2)−7=0
Calculate
More Steps

Evaluate
18x−3(5x−2)−7
Expand the expression
More Steps

Calculate
−3(5x−2)
Apply the distributive property
−3×5x−(−3×2)
Multiply the numbers
−15x−(−3×2)
Multiply the numbers
−15x−(−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
−15x+6
18x−15x+6−7
Subtract the terms
More Steps

Evaluate
18x−15x
Collect like terms by calculating the sum or difference of their coefficients
(18−15)x
Subtract the numbers
3x
3x+6−7
Subtract the numbers
3x−1
3x−1=0
Move the constant to the right-hand side and change its sign
3x=0+1
Removing 0 doesn't change the value,so remove it from the expression
3x=1
Divide both sides
33x=31
Solution
x=31
Alternative Form
x=0.3˙
Show Solution

Rewrite the equation
3x=1
Evaluate
8x−3(5x−2)=7−10x
Evaluate
More Steps

Evaluate
8x−3(5x−2)
Expand the expression
More Steps

Calculate
−3(5x−2)
Apply the distributive property
−3×5x−(−3×2)
Multiply the numbers
−15x−(−3×2)
Multiply the numbers
−15x−(−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
−15x+6
8x−15x+6
Subtract the terms
More Steps

Evaluate
8x−15x
Collect like terms by calculating the sum or difference of their coefficients
(8−15)x
Subtract the numbers
−7x
−7x+6
−7x+6=7−10x
Move the variable to the left side
3x+6=7
Solution
3x=1
Show Solution
