61=5x+3(-x+13)

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Solution for 61=5x+3(-x+13) equation:


Simplifying
61 = 5x + 3(-1x + 13)

Reorder the terms:
61 = 5x + 3(13 + -1x)
61 = 5x + (13 * 3 + -1x * 3)
61 = 5x + (39 + -3x)

Reorder the terms:
61 = 39 + 5x + -3x

Combine like terms: 5x + -3x = 2x
61 = 39 + 2x

Solving
61 = 39 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
61 + -2x = 39 + 2x + -2x

Combine like terms: 2x + -2x = 0
61 + -2x = 39 + 0
61 + -2x = 39

Add '-61' to each side of the equation.
61 + -61 + -2x = 39 + -61

Combine like terms: 61 + -61 = 0
0 + -2x = 39 + -61
-2x = 39 + -61

Combine like terms: 39 + -61 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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