4(x+12)-3(x+2)=3(x-4)+4(x-6)

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Solution for 4(x+12)-3(x+2)=3(x-4)+4(x-6) equation: 


Simplifying
4(x + 12) + -3(x + 2) = 3(x + -4) + 4(x + -6)

Reorder the terms:
4(12 + x) + -3(x + 2) = 3(x + -4) + 4(x + -6)
(12 * 4 + x * 4) + -3(x + 2) = 3(x + -4) + 4(x + -6)
(48 + 4x) + -3(x + 2) = 3(x + -4) + 4(x + -6)

Reorder the terms:
48 + 4x + -3(2 + x) = 3(x + -4) + 4(x + -6)
48 + 4x + (2 * -3 + x * -3) = 3(x + -4) + 4(x + -6)
48 + 4x + (-6 + -3x) = 3(x + -4) + 4(x + -6)

Reorder the terms:
48 + -6 + 4x + -3x = 3(x + -4) + 4(x + -6)

Combine like terms: 48 + -6 = 42
42 + 4x + -3x = 3(x + -4) + 4(x + -6)

Combine like terms: 4x + -3x = 1x
42 + 1x = 3(x + -4) + 4(x + -6)

Reorder the terms:
42 + 1x = 3(-4 + x) + 4(x + -6)
42 + 1x = (-4 * 3 + x * 3) + 4(x + -6)
42 + 1x = (-12 + 3x) + 4(x + -6)

Reorder the terms:
42 + 1x = -12 + 3x + 4(-6 + x)
42 + 1x = -12 + 3x + (-6 * 4 + x * 4)
42 + 1x = -12 + 3x + (-24 + 4x)

Reorder the terms:
42 + 1x = -12 + -24 + 3x + 4x

Combine like terms: -12 + -24 = -36
42 + 1x = -36 + 3x + 4x

Combine like terms: 3x + 4x = 7x
42 + 1x = -36 + 7x

Solving
42 + 1x = -36 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
42 + 1x + -7x = -36 + 7x + -7x

Combine like terms: 1x + -7x = -6x
42 + -6x = -36 + 7x + -7x

Combine like terms: 7x + -7x = 0
42 + -6x = -36 + 0
42 + -6x = -36

Add '-42' to each side of the equation.
42 + -42 + -6x = -36 + -42

Combine like terms: 42 + -42 = 0
0 + -6x = -36 + -42
-6x = -36 + -42

Combine like terms: -36 + -42 = -78
-6x = -78

Divide each side by '-6'.
x = 13

Simplifying
x = 13

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