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

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


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

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

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

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

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

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

Combine like terms: 7 + 23 = 30
30 + 3x + x = 180

Combine like terms: 3x + x = 4x
30 + 4x = 180

Solving
30 + 4x = 180

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 4x = 180 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = 180 + -30
4x = 180 + -30

Combine like terms: 180 + -30 = 150
4x = 150

Divide each side by '4'.
x = 37.5

Simplifying
x = 37.5

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