-12(x-8)=3(x+17)

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Solution for -12(x-8)=3(x+17) equation:


Simplifying
-12(x + -8) = 3(x + 17)

Reorder the terms:
-12(-8 + x) = 3(x + 17)
(-8 * -12 + x * -12) = 3(x + 17)
(96 + -12x) = 3(x + 17)

Reorder the terms:
96 + -12x = 3(17 + x)
96 + -12x = (17 * 3 + x * 3)
96 + -12x = (51 + 3x)

Solving
96 + -12x = 51 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
96 + -12x + -3x = 51 + 3x + -3x

Combine like terms: -12x + -3x = -15x
96 + -15x = 51 + 3x + -3x

Combine like terms: 3x + -3x = 0
96 + -15x = 51 + 0
96 + -15x = 51

Add '-96' to each side of the equation.
96 + -96 + -15x = 51 + -96

Combine like terms: 96 + -96 = 0
0 + -15x = 51 + -96
-15x = 51 + -96

Combine like terms: 51 + -96 = -45
-15x = -45

Divide each side by '-15'.
x = 3

Simplifying
x = 3

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