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

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Solution for 12(x-1)=5(x-8) equation:


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

Reorder the terms:
12(-1 + x) = 5(x + -8)
(-1 * 12 + x * 12) = 5(x + -8)
(-12 + 12x) = 5(x + -8)

Reorder the terms:
-12 + 12x = 5(-8 + x)
-12 + 12x = (-8 * 5 + x * 5)
-12 + 12x = (-40 + 5x)

Solving
-12 + 12x = -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.
-12 + 12x + -5x = -40 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-12 + 7x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 7x = -40 + 0
-12 + 7x = -40

Add '12' to each side of the equation.
-12 + 12 + 7x = -40 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = -40 + 12
7x = -40 + 12

Combine like terms: -40 + 12 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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