(2-x)+4(3+x)-12=x+13

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Solution for (2-x)+4(3+x)-12=x+13 equation: 


Simplifying
(2 + -1x) + 4(3 + x) + -12 = x + 13

Remove parenthesis around (2 + -1x)
2 + -1x + 4(3 + x) + -12 = x + 13
2 + -1x + (3 * 4 + x * 4) + -12 = x + 13
2 + -1x + (12 + 4x) + -12 = x + 13

Reorder the terms:
2 + 12 + -12 + -1x + 4x = x + 13

Combine like terms: 2 + 12 = 14
14 + -12 + -1x + 4x = x + 13

Combine like terms: 14 + -12 = 2
2 + -1x + 4x = x + 13

Combine like terms: -1x + 4x = 3x
2 + 3x = x + 13

Reorder the terms:
2 + 3x = 13 + x

Solving
2 + 3x = 13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 3x + -1x = 13 + x + -1x

Combine like terms: 3x + -1x = 2x
2 + 2x = 13 + x + -1x

Combine like terms: x + -1x = 0
2 + 2x = 13 + 0
2 + 2x = 13

Add '-2' to each side of the equation.
2 + -2 + 2x = 13 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 13 + -2
2x = 13 + -2

Combine like terms: 13 + -2 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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