9(x+3)-5x-3(5+3x)=52

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Solution for 9(x+3)-5x-3(5+3x)=52 equation: 


Simplifying
9(x + 3) + -5x + -3(5 + 3x) = 52

Reorder the terms:
9(3 + x) + -5x + -3(5 + 3x) = 52
(3 * 9 + x * 9) + -5x + -3(5 + 3x) = 52
(27 + 9x) + -5x + -3(5 + 3x) = 52
27 + 9x + -5x + (5 * -3 + 3x * -3) = 52
27 + 9x + -5x + (-15 + -9x) = 52

Reorder the terms:
27 + -15 + 9x + -5x + -9x = 52

Combine like terms: 27 + -15 = 12
12 + 9x + -5x + -9x = 52

Combine like terms: 9x + -5x = 4x
12 + 4x + -9x = 52

Combine like terms: 4x + -9x = -5x
12 + -5x = 52

Solving
12 + -5x = 52

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -5x = 52 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 52 + -12
-5x = 52 + -12

Combine like terms: 52 + -12 = 40
-5x = 40

Divide each side by '-5'.
x = -8

Simplifying
x = -8

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