(5x-2)+(3x-2)=180

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Solution for (5x-2)+(3x-2)=180 equation:


Simplifying
(5x + -2) + (3x + -2) = 180

Reorder the terms:
(-2 + 5x) + (3x + -2) = 180

Remove parenthesis around (-2 + 5x)
-2 + 5x + (3x + -2) = 180

Reorder the terms:
-2 + 5x + (-2 + 3x) = 180

Remove parenthesis around (-2 + 3x)
-2 + 5x + -2 + 3x = 180

Reorder the terms:
-2 + -2 + 5x + 3x = 180

Combine like terms: -2 + -2 = -4
-4 + 5x + 3x = 180

Combine like terms: 5x + 3x = 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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