(x+8)+(3x-42)=180

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Solution for (x+8)+(3x-42)=180 equation:


Simplifying
(x + 8) + (3x + -42) = 180

Reorder the terms:
(8 + x) + (3x + -42) = 180

Remove parenthesis around (8 + x)
8 + x + (3x + -42) = 180

Reorder the terms:
8 + x + (-42 + 3x) = 180

Remove parenthesis around (-42 + 3x)
8 + x + -42 + 3x = 180

Reorder the terms:
8 + -42 + x + 3x = 180

Combine like terms: 8 + -42 = -34
-34 + x + 3x = 180

Combine like terms: x + 3x = 4x
-34 + 4x = 180

Solving
-34 + 4x = 180

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 4x = 180 + 34

Combine like terms: -34 + 34 = 0
0 + 4x = 180 + 34
4x = 180 + 34

Combine like terms: 180 + 34 = 214
4x = 214

Divide each side by '4'.
x = 53.5

Simplifying
x = 53.5

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