(6x+7)+(13x+21)=180

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Solution for (6x+7)+(13x+21)=180 equation:


Simplifying
(6x + 7) + (13x + 21) = 180

Reorder the terms:
(7 + 6x) + (13x + 21) = 180

Remove parenthesis around (7 + 6x)
7 + 6x + (13x + 21) = 180

Reorder the terms:
7 + 6x + (21 + 13x) = 180

Remove parenthesis around (21 + 13x)
7 + 6x + 21 + 13x = 180

Reorder the terms:
7 + 21 + 6x + 13x = 180

Combine like terms: 7 + 21 = 28
28 + 6x + 13x = 180

Combine like terms: 6x + 13x = 19x
28 + 19x = 180

Solving
28 + 19x = 180

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 19x = 180 + -28

Combine like terms: 28 + -28 = 0
0 + 19x = 180 + -28
19x = 180 + -28

Combine like terms: 180 + -28 = 152
19x = 152

Divide each side by '19'.
x = 8

Simplifying
x = 8

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