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

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


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

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

Reorder the terms:
-5 + 8x = 3(-6 + x) + -2
-5 + 8x = (-6 * 3 + x * 3) + -2
-5 + 8x = (-18 + 3x) + -2

Reorder the terms:
-5 + 8x = -18 + -2 + 3x

Combine like terms: -18 + -2 = -20
-5 + 8x = -20 + 3x

Solving
-5 + 8x = -20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 8x + -3x = -20 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-5 + 5x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 5x = -20 + 0
-5 + 5x = -20

Add '5' to each side of the equation.
-5 + 5 + 5x = -20 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = -20 + 5
5x = -20 + 5

Combine like terms: -20 + 5 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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