-12(x-7)=3(x-17)

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Solution for -12(x-7)=3(x-17) equation:


Simplifying
-12(x + -7) = 3(x + -17)

Reorder the terms:
-12(-7 + x) = 3(x + -17)
(-7 * -12 + x * -12) = 3(x + -17)
(84 + -12x) = 3(x + -17)

Reorder the terms:
84 + -12x = 3(-17 + x)
84 + -12x = (-17 * 3 + x * 3)
84 + -12x = (-51 + 3x)

Solving
84 + -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.
84 + -12x + -3x = -51 + 3x + -3x

Combine like terms: -12x + -3x = -15x
84 + -15x = -51 + 3x + -3x

Combine like terms: 3x + -3x = 0
84 + -15x = -51 + 0
84 + -15x = -51

Add '-84' to each side of the equation.
84 + -84 + -15x = -51 + -84

Combine like terms: 84 + -84 = 0
0 + -15x = -51 + -84
-15x = -51 + -84

Combine like terms: -51 + -84 = -135
-15x = -135

Divide each side by '-15'.
x = 9

Simplifying
x = 9

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