(7x+14)+(5x+24)=180

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Solution for (7x+14)+(5x+24)=180 equation:


Simplifying
(7x + 14) + (5x + 24) = 180

Reorder the terms:
(14 + 7x) + (5x + 24) = 180

Remove parenthesis around (14 + 7x)
14 + 7x + (5x + 24) = 180

Reorder the terms:
14 + 7x + (24 + 5x) = 180

Remove parenthesis around (24 + 5x)
14 + 7x + 24 + 5x = 180

Reorder the terms:
14 + 24 + 7x + 5x = 180

Combine like terms: 14 + 24 = 38
38 + 7x + 5x = 180

Combine like terms: 7x + 5x = 12x
38 + 12x = 180

Solving
38 + 12x = 180

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 12x = 180 + -38

Combine like terms: 38 + -38 = 0
0 + 12x = 180 + -38
12x = 180 + -38

Combine like terms: 180 + -38 = 142
12x = 142

Divide each side by '12'.
x = 11.83333333

Simplifying
x = 11.83333333

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