-3(-7x+6)-8x=5(x-1)-9

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Solution for -3(-7x+6)-8x=5(x-1)-9 equation:


Simplifying
-3(-7x + 6) + -8x = 5(x + -1) + -9

Reorder the terms:
-3(6 + -7x) + -8x = 5(x + -1) + -9
(6 * -3 + -7x * -3) + -8x = 5(x + -1) + -9
(-18 + 21x) + -8x = 5(x + -1) + -9

Combine like terms: 21x + -8x = 13x
-18 + 13x = 5(x + -1) + -9

Reorder the terms:
-18 + 13x = 5(-1 + x) + -9
-18 + 13x = (-1 * 5 + x * 5) + -9
-18 + 13x = (-5 + 5x) + -9

Reorder the terms:
-18 + 13x = -5 + -9 + 5x

Combine like terms: -5 + -9 = -14
-18 + 13x = -14 + 5x

Solving
-18 + 13x = -14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 13x + -5x = -14 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-18 + 8x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 8x = -14 + 0
-18 + 8x = -14

Add '18' to each side of the equation.
-18 + 18 + 8x = -14 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = -14 + 18
8x = -14 + 18

Combine like terms: -14 + 18 = 4
8x = 4

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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