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 = -51
-51 + 18x + -1x = 4x + -8

Combine like terms: 18x + -1x = 17x
-51 + 17x = 4x + -8

Reorder the terms:
-51 + 17x = -8 + 4x

Solving
-51 + 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.
-51 + 17x + -4x = -8 + 4x + -4x

Combine like terms: 17x + -4x = 13x
-51 + 13x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-51 + 13x = -8 + 0
-51 + 13x = -8

Add '51' to each side of the equation.
-51 + 51 + 13x = -8 + 51

Combine like terms: -51 + 51 = 0
0 + 13x = -8 + 51
13x = -8 + 51

Combine like terms: -8 + 51 = 43
13x = 43

Divide each side by '13'.
x = 3.307692308

Simplifying
x = 3.307692308

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