3(9-x)+5(20-2x)=36

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Solution for 3(9-x)+5(20-2x)=36 equation: 


Simplifying
3(9 + -1x) + 5(20 + -2x) = 36
(9 * 3 + -1x * 3) + 5(20 + -2x) = 36
(27 + -3x) + 5(20 + -2x) = 36
27 + -3x + (20 * 5 + -2x * 5) = 36
27 + -3x + (100 + -10x) = 36

Reorder the terms:
27 + 100 + -3x + -10x = 36

Combine like terms: 27 + 100 = 127
127 + -3x + -10x = 36

Combine like terms: -3x + -10x = -13x
127 + -13x = 36

Solving
127 + -13x = 36

Solving for variable 'x'.

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

Add '-127' to each side of the equation.
127 + -127 + -13x = 36 + -127

Combine like terms: 127 + -127 = 0
0 + -13x = 36 + -127
-13x = 36 + -127

Combine like terms: 36 + -127 = -91
-13x = -91

Divide each side by '-13'.
x = 7

Simplifying
x = 7

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