(15x-48)-(5x+12)+40=180

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Solution for (15x-48)-(5x+12)+40=180 equation:


Simplifying
(15x + -48) + -1(5x + 12) + 40 = 180

Reorder the terms:
(-48 + 15x) + -1(5x + 12) + 40 = 180

Remove parenthesis around (-48 + 15x)
-48 + 15x + -1(5x + 12) + 40 = 180

Reorder the terms:
-48 + 15x + -1(12 + 5x) + 40 = 180
-48 + 15x + (12 * -1 + 5x * -1) + 40 = 180
-48 + 15x + (-12 + -5x) + 40 = 180

Reorder the terms:
-48 + -12 + 40 + 15x + -5x = 180

Combine like terms: -48 + -12 = -60
-60 + 40 + 15x + -5x = 180

Combine like terms: -60 + 40 = -20
-20 + 15x + -5x = 180

Combine like terms: 15x + -5x = 10x
-20 + 10x = 180

Solving
-20 + 10x = 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 + 10x = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 180 + 20
10x = 180 + 20

Combine like terms: 180 + 20 = 200
10x = 200

Divide each side by '10'.
x = 20

Simplifying
x = 20

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