5x+29=-3(3-3x)+6

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Solution for 5x+29=-3(3-3x)+6 equation:


Simplifying
5x + 29 = -3(3 + -3x) + 6

Reorder the terms:
29 + 5x = -3(3 + -3x) + 6
29 + 5x = (3 * -3 + -3x * -3) + 6
29 + 5x = (-9 + 9x) + 6

Reorder the terms:
29 + 5x = -9 + 6 + 9x

Combine like terms: -9 + 6 = -3
29 + 5x = -3 + 9x

Solving
29 + 5x = -3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
29 + 5x + -9x = -3 + 9x + -9x

Combine like terms: 5x + -9x = -4x
29 + -4x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
29 + -4x = -3 + 0
29 + -4x = -3

Add '-29' to each side of the equation.
29 + -29 + -4x = -3 + -29

Combine like terms: 29 + -29 = 0
0 + -4x = -3 + -29
-4x = -3 + -29

Combine like terms: -3 + -29 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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