8(x-3)=-(x-12)

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Solution for 8(x-3)=-(x-12) equation:


Simplifying
8(x + -3) = -1(x + -12)

Reorder the terms:
8(-3 + x) = -1(x + -12)
(-3 * 8 + x * 8) = -1(x + -12)
(-24 + 8x) = -1(x + -12)

Reorder the terms:
-24 + 8x = -1(-12 + x)
-24 + 8x = (-12 * -1 + x * -1)
-24 + 8x = (12 + -1x)

Solving
-24 + 8x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-24 + 8x + x = 12 + -1x + x

Combine like terms: 8x + x = 9x
-24 + 9x = 12 + -1x + x

Combine like terms: -1x + x = 0
-24 + 9x = 12 + 0
-24 + 9x = 12

Add '24' to each side of the equation.
-24 + 24 + 9x = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 9x = 12 + 24
9x = 12 + 24

Combine like terms: 12 + 24 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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