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

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


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

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

Remove parenthesis around (-7 + 6x)
-7 + 6x + (3x + -29) = 180

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

Remove parenthesis around (-29 + 3x)
-7 + 6x + -29 + 3x = 180

Reorder the terms:
-7 + -29 + 6x + 3x = 180

Combine like terms: -7 + -29 = -36
-36 + 6x + 3x = 180

Combine like terms: 6x + 3x = 9x
-36 + 9x = 180

Solving
-36 + 9x = 180

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 9x = 180 + 36

Combine like terms: -36 + 36 = 0
0 + 9x = 180 + 36
9x = 180 + 36

Combine like terms: 180 + 36 = 216
9x = 216

Divide each side by '9'.
x = 24

Simplifying
x = 24

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