2(x-3)-(-8x-2)=9x

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Solution for 2(x-3)-(-8x-2)=9x equation:


Simplifying
2(x + -3) + -1(-8x + -2) = 9x

Reorder the terms:
2(-3 + x) + -1(-8x + -2) = 9x
(-3 * 2 + x * 2) + -1(-8x + -2) = 9x
(-6 + 2x) + -1(-8x + -2) = 9x

Reorder the terms:
-6 + 2x + -1(-2 + -8x) = 9x
-6 + 2x + (-2 * -1 + -8x * -1) = 9x
-6 + 2x + (2 + 8x) = 9x

Reorder the terms:
-6 + 2 + 2x + 8x = 9x

Combine like terms: -6 + 2 = -4
-4 + 2x + 8x = 9x

Combine like terms: 2x + 8x = 10x
-4 + 10x = 9x

Solving
-4 + 10x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-4 + 10x + -9x = 9x + -9x

Combine like terms: 10x + -9x = 1x
-4 + 1x = 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + 1x = 0

Add '4' to each side of the equation.
-4 + 4 + 1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 0 + 4
1x = 0 + 4

Combine like terms: 0 + 4 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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