(2x+1)+(2x+31)+(x+16)=180

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Solution for (2x+1)+(2x+31)+(x+16)=180 equation:


Simplifying
(2x + 1) + (2x + 31) + (x + 16) = 180

Reorder the terms:
(1 + 2x) + (2x + 31) + (x + 16) = 180

Remove parenthesis around (1 + 2x)
1 + 2x + (2x + 31) + (x + 16) = 180

Reorder the terms:
1 + 2x + (31 + 2x) + (x + 16) = 180

Remove parenthesis around (31 + 2x)
1 + 2x + 31 + 2x + (x + 16) = 180

Reorder the terms:
1 + 2x + 31 + 2x + (16 + x) = 180

Remove parenthesis around (16 + x)
1 + 2x + 31 + 2x + 16 + x = 180

Reorder the terms:
1 + 31 + 16 + 2x + 2x + x = 180

Combine like terms: 1 + 31 = 32
32 + 16 + 2x + 2x + x = 180

Combine like terms: 32 + 16 = 48
48 + 2x + 2x + x = 180

Combine like terms: 2x + 2x = 4x
48 + 4x + x = 180

Combine like terms: 4x + x = 5x
48 + 5x = 180

Solving
48 + 5x = 180

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + 5x = 180 + -48

Combine like terms: 48 + -48 = 0
0 + 5x = 180 + -48
5x = 180 + -48

Combine like terms: 180 + -48 = 132
5x = 132

Divide each side by '5'.
x = 26.4

Simplifying
x = 26.4

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