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

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


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

Reorder the terms:
2(-3 + x) + -8 = 5x + 6 + -1x
(-3 * 2 + x * 2) + -8 = 5x + 6 + -1x
(-6 + 2x) + -8 = 5x + 6 + -1x

Reorder the terms:
-6 + -8 + 2x = 5x + 6 + -1x

Combine like terms: -6 + -8 = -14
-14 + 2x = 5x + 6 + -1x

Reorder the terms:
-14 + 2x = 6 + 5x + -1x

Combine like terms: 5x + -1x = 4x
-14 + 2x = 6 + 4x

Solving
-14 + 2x = 6 + 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.
-14 + 2x + -4x = 6 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-14 + -2x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + -2x = 6 + 0
-14 + -2x = 6

Add '14' to each side of the equation.
-14 + 14 + -2x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = 6 + 14
-2x = 6 + 14

Combine like terms: 6 + 14 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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