Question
Solve the equation
Solve for x
x=13
Evaluate
−32(x−1)=−8
Simplify
More Steps

Evaluate
−32(x−1)
Multiply the terms
More Steps

Evaluate
32(x−1)
Apply the distributive property
32x−32×1
Any expression multiplied by 1 remains the same
32x−32
−(32x−32)
Calculate
−32x+32
−32x+32=−8
Move the constant to the right-hand side and change its sign
−32x=−8−32
Subtract the numbers
More Steps

Evaluate
−8−32
Reduce fractions to a common denominator
−38×3−32
Write all numerators above the common denominator
3−8×3−2
Multiply the numbers
3−24−2
Subtract the numbers
3−26
Use b−a=−ba=−ba to rewrite the fraction
−326
−32x=−326
Change the signs on both sides of the equation
32x=326
Multiply by the reciprocal
32x×23=326×23
Multiply
x=326×23
Solution
More Steps

Evaluate
326×23
Reduce the numbers
313×3
Reduce the numbers
13×1
Simplify
13
x=13
Show Solution
Rewrite the equation
Rewrite in standard form
x=13
Evaluate
−32(x−1)=−8
Evaluate
More Steps

Evaluate
−32(x−1)
Multiply the terms
More Steps

Evaluate
32(x−1)
Apply the distributive property
32x−32×1
Any expression multiplied by 1 remains the same
32x−32
−(32x−32)
Calculate
−32x+32
−32x+32=−8
Multiply both sides of the equation by LCD
−2x+2=−24
Move the constant to the right side
−2x=−26
Multiply both sides
2x=26
Solution
x=13
Show Solution