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

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


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

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

Reorder the terms:
-18 + 8x + -3x = 6x + -5

Combine like terms: 8x + -3x = 5x
-18 + 5x = 6x + -5

Reorder the terms:
-18 + 5x = -5 + 6x

Solving
-18 + 5x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-18 + 5x + -6x = -5 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-18 + -1x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + -1x = -5 + 0
-18 + -1x = -5

Add '18' to each side of the equation.
-18 + 18 + -1x = -5 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = -5 + 18
-1x = -5 + 18

Combine like terms: -5 + 18 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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