(x-9)+(3x+41)=180

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Solution for (x-9)+(3x+41)=180 equation:


Simplifying
(x + -9) + (3x + 41) = 180

Reorder the terms:
(-9 + x) + (3x + 41) = 180

Remove parenthesis around (-9 + x)
-9 + x + (3x + 41) = 180

Reorder the terms:
-9 + x + (41 + 3x) = 180

Remove parenthesis around (41 + 3x)
-9 + x + 41 + 3x = 180

Reorder the terms:
-9 + 41 + x + 3x = 180

Combine like terms: -9 + 41 = 32
32 + x + 3x = 180

Combine like terms: x + 3x = 4x
32 + 4x = 180

Solving
32 + 4x = 180

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 4x = 180 + -32

Combine like terms: 32 + -32 = 0
0 + 4x = 180 + -32
4x = 180 + -32

Combine like terms: 180 + -32 = 148
4x = 148

Divide each side by '4'.
x = 37

Simplifying
x = 37

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