(3x+2)+(x-4)=180

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Solution for (3x+2)+(x-4)=180 equation:


Simplifying
(3x + 2) + (x + -4) = 180

Reorder the terms:
(2 + 3x) + (x + -4) = 180

Remove parenthesis around (2 + 3x)
2 + 3x + (x + -4) = 180

Reorder the terms:
2 + 3x + (-4 + x) = 180

Remove parenthesis around (-4 + x)
2 + 3x + -4 + x = 180

Reorder the terms:
2 + -4 + 3x + x = 180

Combine like terms: 2 + -4 = -2
-2 + 3x + x = 180

Combine like terms: 3x + x = 4x
-2 + 4x = 180

Solving
-2 + 4x = 180

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 4x = 180 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 180 + 2
4x = 180 + 2

Combine like terms: 180 + 2 = 182
4x = 182

Divide each side by '4'.
x = 45.5

Simplifying
x = 45.5

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