(3x-7)+(2x-13)=180

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Solution for (3x-7)+(2x-13)=180 equation:


Simplifying
(3x + -7) + (2x + -13) = 180

Reorder the terms:
(-7 + 3x) + (2x + -13) = 180

Remove parenthesis around (-7 + 3x)
-7 + 3x + (2x + -13) = 180

Reorder the terms:
-7 + 3x + (-13 + 2x) = 180

Remove parenthesis around (-13 + 2x)
-7 + 3x + -13 + 2x = 180

Reorder the terms:
-7 + -13 + 3x + 2x = 180

Combine like terms: -7 + -13 = -20
-20 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
-20 + 5x = 180

Solving
-20 + 5x = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 5x = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 180 + 20
5x = 180 + 20

Combine like terms: 180 + 20 = 200
5x = 200

Divide each side by '5'.
x = 40

Simplifying
x = 40

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