(7x+31)+(21x-19)=180

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Solution for (7x+31)+(21x-19)=180 equation:


Simplifying
(7x + 31) + (21x + -19) = 180

Reorder the terms:
(31 + 7x) + (21x + -19) = 180

Remove parenthesis around (31 + 7x)
31 + 7x + (21x + -19) = 180

Reorder the terms:
31 + 7x + (-19 + 21x) = 180

Remove parenthesis around (-19 + 21x)
31 + 7x + -19 + 21x = 180

Reorder the terms:
31 + -19 + 7x + 21x = 180

Combine like terms: 31 + -19 = 12
12 + 7x + 21x = 180

Combine like terms: 7x + 21x = 28x
12 + 28x = 180

Solving
12 + 28x = 180

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 28x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 28x = 180 + -12
28x = 180 + -12

Combine like terms: 180 + -12 = 168
28x = 168

Divide each side by '28'.
x = 6

Simplifying
x = 6

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