9(x-6)-1(x+3)+5x=8

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Solution for 9(x-6)-1(x+3)+5x=8 equation:


Simplifying
9(x + -6) + -1(x + 3) + 5x = 8

Reorder the terms:
9(-6 + x) + -1(x + 3) + 5x = 8
(-6 * 9 + x * 9) + -1(x + 3) + 5x = 8
(-54 + 9x) + -1(x + 3) + 5x = 8

Reorder the terms:
-54 + 9x + -1(3 + x) + 5x = 8
-54 + 9x + (3 * -1 + x * -1) + 5x = 8
-54 + 9x + (-3 + -1x) + 5x = 8

Reorder the terms:
-54 + -3 + 9x + -1x + 5x = 8

Combine like terms: -54 + -3 = -57
-57 + 9x + -1x + 5x = 8

Combine like terms: 9x + -1x = 8x
-57 + 8x + 5x = 8

Combine like terms: 8x + 5x = 13x
-57 + 13x = 8

Solving
-57 + 13x = 8

Solving for variable 'x'.

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

Add '57' to each side of the equation.
-57 + 57 + 13x = 8 + 57

Combine like terms: -57 + 57 = 0
0 + 13x = 8 + 57
13x = 8 + 57

Combine like terms: 8 + 57 = 65
13x = 65

Divide each side by '13'.
x = 5

Simplifying
x = 5

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