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

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


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

Reorder the terms:
2(12 + x) + 3(x + -4) = 4(x + 4)
(12 * 2 + x * 2) + 3(x + -4) = 4(x + 4)
(24 + 2x) + 3(x + -4) = 4(x + 4)

Reorder the terms:
24 + 2x + 3(-4 + x) = 4(x + 4)
24 + 2x + (-4 * 3 + x * 3) = 4(x + 4)
24 + 2x + (-12 + 3x) = 4(x + 4)

Reorder the terms:
24 + -12 + 2x + 3x = 4(x + 4)

Combine like terms: 24 + -12 = 12
12 + 2x + 3x = 4(x + 4)

Combine like terms: 2x + 3x = 5x
12 + 5x = 4(x + 4)

Reorder the terms:
12 + 5x = 4(4 + x)
12 + 5x = (4 * 4 + x * 4)
12 + 5x = (16 + 4x)

Solving
12 + 5x = 16 + 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.
12 + 5x + -4x = 16 + 4x + -4x

Combine like terms: 5x + -4x = 1x
12 + 1x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 1x = 16 + 0
12 + 1x = 16

Add '-12' to each side of the equation.
12 + -12 + 1x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 16 + -12
1x = 16 + -12

Combine like terms: 16 + -12 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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