(10-5x)+(40-8x)=180

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Solution for (10-5x)+(40-8x)=180 equation:


Simplifying
(10 + -5x) + (40 + -8x) = 180

Remove parenthesis around (10 + -5x)
10 + -5x + (40 + -8x) = 180

Remove parenthesis around (40 + -8x)
10 + -5x + 40 + -8x = 180

Reorder the terms:
10 + 40 + -5x + -8x = 180

Combine like terms: 10 + 40 = 50
50 + -5x + -8x = 180

Combine like terms: -5x + -8x = -13x
50 + -13x = 180

Solving
50 + -13x = 180

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + -13x = 180 + -50

Combine like terms: 50 + -50 = 0
0 + -13x = 180 + -50
-13x = 180 + -50

Combine like terms: 180 + -50 = 130
-13x = 130

Divide each side by '-13'.
x = -10

Simplifying
x = -10

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