2(7x+8)=3(6x-12)

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Solution for 2(7x+8)=3(6x-12) equation: 


Simplifying
2(7x + 8) = 3(6x + -12)

Reorder the terms:
2(8 + 7x) = 3(6x + -12)
(8 * 2 + 7x * 2) = 3(6x + -12)
(16 + 14x) = 3(6x + -12)

Reorder the terms:
16 + 14x = 3(-12 + 6x)
16 + 14x = (-12 * 3 + 6x * 3)
16 + 14x = (-36 + 18x)

Solving
16 + 14x = -36 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
16 + 14x + -18x = -36 + 18x + -18x

Combine like terms: 14x + -18x = -4x
16 + -4x = -36 + 18x + -18x

Combine like terms: 18x + -18x = 0
16 + -4x = -36 + 0
16 + -4x = -36

Add '-16' to each side of the equation.
16 + -16 + -4x = -36 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -36 + -16
-4x = -36 + -16

Combine like terms: -36 + -16 = -52
-4x = -52

Divide each side by '-4'.
x = 13

Simplifying
x = 13

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