180-(6x-7)=(3x-29)

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Solution for 180-(6x-7)=(3x-29) equation:


Simplifying
180 + -1(6x + -7) = (3x + -29)

Reorder the terms:
180 + -1(-7 + 6x) = (3x + -29)
180 + (-7 * -1 + 6x * -1) = (3x + -29)
180 + (7 + -6x) = (3x + -29)

Combine like terms: 180 + 7 = 187
187 + -6x = (3x + -29)

Reorder the terms:
187 + -6x = (-29 + 3x)

Remove parenthesis around (-29 + 3x)
187 + -6x = -29 + 3x

Solving
187 + -6x = -29 + 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.
187 + -6x + -3x = -29 + 3x + -3x

Combine like terms: -6x + -3x = -9x
187 + -9x = -29 + 3x + -3x

Combine like terms: 3x + -3x = 0
187 + -9x = -29 + 0
187 + -9x = -29

Add '-187' to each side of the equation.
187 + -187 + -9x = -29 + -187

Combine like terms: 187 + -187 = 0
0 + -9x = -29 + -187
-9x = -29 + -187

Combine like terms: -29 + -187 = -216
-9x = -216

Divide each side by '-9'.
x = 24

Simplifying
x = 24

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