9(2x-6)-(x+3)=4x-8

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Solution for 9(2x-6)-(x+3)=4x-8 equation:


Simplifying
9(2x + -6) + -1(x + 3) = 4x + -8

Reorder the terms:
9(-6 + 2x) + -1(x + 3) = 4x + -8
(-6 * 9 + 2x * 9) + -1(x + 3) = 4x + -8
(-54 + 18x) + -1(x + 3) = 4x + -8

Reorder the terms:
-54 + 18x + -1(3 + x) = 4x + -8
-54 + 18x + (3 * -1 + x * -1) = 4x + -8
-54 + 18x + (-3 + -1x) = 4x + -8

Reorder the terms:
-54 + -3 + 18x + -1x = 4x + -8

Combine like terms: -54 + -3 = -57
-57 + 18x + -1x = 4x + -8

Combine like terms: 18x + -1x = 17x
-57 + 17x = 4x + -8

Reorder the terms:
-57 + 17x = -8 + 4x

Solving
-57 + 17x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-57 + 17x + -4x = -8 + 4x + -4x

Combine like terms: 17x + -4x = 13x
-57 + 13x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-57 + 13x = -8 + 0
-57 + 13x = -8

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 = 49
13x = 49

Divide each side by '13'.
x = 3.769230769

Simplifying
x = 3.769230769

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