(3x+23)+(7x-37)=180

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Solution for (3x+23)+(7x-37)=180 equation:


Simplifying
(3x + 23) + (7x + -37) = 180

Reorder the terms:
(23 + 3x) + (7x + -37) = 180

Remove parenthesis around (23 + 3x)
23 + 3x + (7x + -37) = 180

Reorder the terms:
23 + 3x + (-37 + 7x) = 180

Remove parenthesis around (-37 + 7x)
23 + 3x + -37 + 7x = 180

Reorder the terms:
23 + -37 + 3x + 7x = 180

Combine like terms: 23 + -37 = -14
-14 + 3x + 7x = 180

Combine like terms: 3x + 7x = 10x
-14 + 10x = 180

Solving
-14 + 10x = 180

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 10x = 180 + 14

Combine like terms: -14 + 14 = 0
0 + 10x = 180 + 14
10x = 180 + 14

Combine like terms: 180 + 14 = 194
10x = 194

Divide each side by '10'.
x = 19.4

Simplifying
x = 19.4

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