(3x+11)+(x+21)=180

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Solution for (3x+11)+(x+21)=180 equation:


Simplifying
(3x + 11) + (x + 21) = 180

Reorder the terms:
(11 + 3x) + (x + 21) = 180

Remove parenthesis around (11 + 3x)
11 + 3x + (x + 21) = 180

Reorder the terms:
11 + 3x + (21 + x) = 180

Remove parenthesis around (21 + x)
11 + 3x + 21 + x = 180

Reorder the terms:
11 + 21 + 3x + x = 180

Combine like terms: 11 + 21 = 32
32 + 3x + x = 180

Combine like terms: 3x + x = 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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