(2x-8)+(3x-7)=180

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Solution for (2x-8)+(3x-7)=180 equation:


Simplifying
(2x + -8) + (3x + -7) = 180

Reorder the terms:
(-8 + 2x) + (3x + -7) = 180

Remove parenthesis around (-8 + 2x)
-8 + 2x + (3x + -7) = 180

Reorder the terms:
-8 + 2x + (-7 + 3x) = 180

Remove parenthesis around (-7 + 3x)
-8 + 2x + -7 + 3x = 180

Reorder the terms:
-8 + -7 + 2x + 3x = 180

Combine like terms: -8 + -7 = -15
-15 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
-15 + 5x = 180

Solving
-15 + 5x = 180

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 5x = 180 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 180 + 15
5x = 180 + 15

Combine like terms: 180 + 15 = 195
5x = 195

Divide each side by '5'.
x = 39

Simplifying
x = 39

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