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

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Solution for 5(x+4)+x=2x+3(x+12) equation:


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

Reorder the terms:
5(4 + x) + x = 2x + 3(x + 12)
(4 * 5 + x * 5) + x = 2x + 3(x + 12)
(20 + 5x) + x = 2x + 3(x + 12)

Combine like terms: 5x + x = 6x
20 + 6x = 2x + 3(x + 12)

Reorder the terms:
20 + 6x = 2x + 3(12 + x)
20 + 6x = 2x + (12 * 3 + x * 3)
20 + 6x = 2x + (36 + 3x)

Reorder the terms:
20 + 6x = 36 + 2x + 3x

Combine like terms: 2x + 3x = 5x
20 + 6x = 36 + 5x

Solving
20 + 6x = 36 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + 6x + -5x = 36 + 5x + -5x

Combine like terms: 6x + -5x = 1x
20 + 1x = 36 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + 1x = 36 + 0
20 + 1x = 36

Add '-20' to each side of the equation.
20 + -20 + 1x = 36 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 36 + -20
1x = 36 + -20

Combine like terms: 36 + -20 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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