(3x-8)+(5x-4)=180

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Solution for (3x-8)+(5x-4)=180 equation:


Simplifying
(3x + -8) + (5x + -4) = 180

Reorder the terms:
(-8 + 3x) + (5x + -4) = 180

Remove parenthesis around (-8 + 3x)
-8 + 3x + (5x + -4) = 180

Reorder the terms:
-8 + 3x + (-4 + 5x) = 180

Remove parenthesis around (-4 + 5x)
-8 + 3x + -4 + 5x = 180

Reorder the terms:
-8 + -4 + 3x + 5x = 180

Combine like terms: -8 + -4 = -12
-12 + 3x + 5x = 180

Combine like terms: 3x + 5x = 8x
-12 + 8x = 180

Solving
-12 + 8x = 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 + 8x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 180 + 12
8x = 180 + 12

Combine like terms: 180 + 12 = 192
8x = 192

Divide each side by '8'.
x = 24

Simplifying
x = 24

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