(5x+1)+(7x-23)=180

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Solution for (5x+1)+(7x-23)=180 equation:


Simplifying
(5x + 1) + (7x + -23) = 180

Reorder the terms:
(1 + 5x) + (7x + -23) = 180

Remove parenthesis around (1 + 5x)
1 + 5x + (7x + -23) = 180

Reorder the terms:
1 + 5x + (-23 + 7x) = 180

Remove parenthesis around (-23 + 7x)
1 + 5x + -23 + 7x = 180

Reorder the terms:
1 + -23 + 5x + 7x = 180

Combine like terms: 1 + -23 = -22
-22 + 5x + 7x = 180

Combine like terms: 5x + 7x = 12x
-22 + 12x = 180

Solving
-22 + 12x = 180

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 12x = 180 + 22

Combine like terms: -22 + 22 = 0
0 + 12x = 180 + 22
12x = 180 + 22

Combine like terms: 180 + 22 = 202
12x = 202

Divide each side by '12'.
x = 16.83333333

Simplifying
x = 16.83333333

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