-12(x-6)=3(x-49)

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Solution for -12(x-6)=3(x-49) equation: 


Simplifying
-12(x + -6) = 3(x + -49)

Reorder the terms:
-12(-6 + x) = 3(x + -49)
(-6 * -12 + x * -12) = 3(x + -49)
(72 + -12x) = 3(x + -49)

Reorder the terms:
72 + -12x = 3(-49 + x)
72 + -12x = (-49 * 3 + x * 3)
72 + -12x = (-147 + 3x)

Solving
72 + -12x = -147 + 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.
72 + -12x + -3x = -147 + 3x + -3x

Combine like terms: -12x + -3x = -15x
72 + -15x = -147 + 3x + -3x

Combine like terms: 3x + -3x = 0
72 + -15x = -147 + 0
72 + -15x = -147

Add '-72' to each side of the equation.
72 + -72 + -15x = -147 + -72

Combine like terms: 72 + -72 = 0
0 + -15x = -147 + -72
-15x = -147 + -72

Combine like terms: -147 + -72 = -219
-15x = -219

Divide each side by '-15'.
x = 14.6

Simplifying
x = 14.6

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