(3x+12)+(5x-16)=180

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Solution for (3x+12)+(5x-16)=180 equation:


Simplifying
(3x + 12) + (5x + -16) = 180

Reorder the terms:
(12 + 3x) + (5x + -16) = 180

Remove parenthesis around (12 + 3x)
12 + 3x + (5x + -16) = 180

Reorder the terms:
12 + 3x + (-16 + 5x) = 180

Remove parenthesis around (-16 + 5x)
12 + 3x + -16 + 5x = 180

Reorder the terms:
12 + -16 + 3x + 5x = 180

Combine like terms: 12 + -16 = -4
-4 + 3x + 5x = 180

Combine like terms: 3x + 5x = 8x
-4 + 8x = 180

Solving
-4 + 8x = 180

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 8x = 180 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 180 + 4
8x = 180 + 4

Combine like terms: 180 + 4 = 184
8x = 184

Divide each side by '8'.
x = 23

Simplifying
x = 23

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