29=2x+5(-x+13)

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Solution for 29=2x+5(-x+13) equation:


Simplifying
29 = 2x + 5(-1x + 13)

Reorder the terms:
29 = 2x + 5(13 + -1x)
29 = 2x + (13 * 5 + -1x * 5)
29 = 2x + (65 + -5x)

Reorder the terms:
29 = 65 + 2x + -5x

Combine like terms: 2x + -5x = -3x
29 = 65 + -3x

Solving
29 = 65 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
29 + 3x = 65 + -3x + 3x

Combine like terms: -3x + 3x = 0
29 + 3x = 65 + 0
29 + 3x = 65

Add '-29' to each side of the equation.
29 + -29 + 3x = 65 + -29

Combine like terms: 29 + -29 = 0
0 + 3x = 65 + -29
3x = 65 + -29

Combine like terms: 65 + -29 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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