3(x+12)=4(x-7)

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Solution for 3(x+12)=4(x-7) equation: 


Simplifying
3(x + 12) = 4(x + -7)

Reorder the terms:
3(12 + x) = 4(x + -7)
(12 * 3 + x * 3) = 4(x + -7)
(36 + 3x) = 4(x + -7)

Reorder the terms:
36 + 3x = 4(-7 + x)
36 + 3x = (-7 * 4 + x * 4)
36 + 3x = (-28 + 4x)

Solving
36 + 3x = -28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
36 + 3x + -4x = -28 + 4x + -4x

Combine like terms: 3x + -4x = -1x
36 + -1x = -28 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + -1x = -28 + 0
36 + -1x = -28

Add '-36' to each side of the equation.
36 + -36 + -1x = -28 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = -28 + -36
-1x = -28 + -36

Combine like terms: -28 + -36 = -64
-1x = -64

Divide each side by '-1'.
x = 64

Simplifying
x = 64

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