-3x+29=5(x-2)+23

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Solution for -3x+29=5(x-2)+23 equation:


Simplifying
-3x + 29 = 5(x + -2) + 23

Reorder the terms:
29 + -3x = 5(x + -2) + 23

Reorder the terms:
29 + -3x = 5(-2 + x) + 23
29 + -3x = (-2 * 5 + x * 5) + 23
29 + -3x = (-10 + 5x) + 23

Reorder the terms:
29 + -3x = -10 + 23 + 5x

Combine like terms: -10 + 23 = 13
29 + -3x = 13 + 5x

Solving
29 + -3x = 13 + 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.
29 + -3x + -5x = 13 + 5x + -5x

Combine like terms: -3x + -5x = -8x
29 + -8x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
29 + -8x = 13 + 0
29 + -8x = 13

Add '-29' to each side of the equation.
29 + -29 + -8x = 13 + -29

Combine like terms: 29 + -29 = 0
0 + -8x = 13 + -29
-8x = 13 + -29

Combine like terms: 13 + -29 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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