8x-5(2x+3)=x-6

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Solution for 8x-5(2x+3)=x-6 equation:


Simplifying
8x + -5(2x + 3) = x + -6

Reorder the terms:
8x + -5(3 + 2x) = x + -6
8x + (3 * -5 + 2x * -5) = x + -6
8x + (-15 + -10x) = x + -6

Reorder the terms:
-15 + 8x + -10x = x + -6

Combine like terms: 8x + -10x = -2x
-15 + -2x = x + -6

Reorder the terms:
-15 + -2x = -6 + x

Solving
-15 + -2x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-15 + -2x + -1x = -6 + x + -1x

Combine like terms: -2x + -1x = -3x
-15 + -3x = -6 + x + -1x

Combine like terms: x + -1x = 0
-15 + -3x = -6 + 0
-15 + -3x = -6

Add '15' to each side of the equation.
-15 + 15 + -3x = -6 + 15

Combine like terms: -15 + 15 = 0
0 + -3x = -6 + 15
-3x = -6 + 15

Combine like terms: -6 + 15 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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