-10(x-1)=-5(x-8)

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Solution for -10(x-1)=-5(x-8) equation:


Simplifying
-10(x + -1) = -5(x + -8)

Reorder the terms:
-10(-1 + x) = -5(x + -8)
(-1 * -10 + x * -10) = -5(x + -8)
(10 + -10x) = -5(x + -8)

Reorder the terms:
10 + -10x = -5(-8 + x)
10 + -10x = (-8 * -5 + x * -5)
10 + -10x = (40 + -5x)

Solving
10 + -10x = 40 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
10 + -10x + 5x = 40 + -5x + 5x

Combine like terms: -10x + 5x = -5x
10 + -5x = 40 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + -5x = 40 + 0
10 + -5x = 40

Add '-10' to each side of the equation.
10 + -10 + -5x = 40 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 40 + -10
-5x = 40 + -10

Combine like terms: 40 + -10 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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