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

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


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

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

Combine like terms: 2 + 3 = 5
5 + -8x = -2(x + 3) + 9

Reorder the terms:
5 + -8x = -2(3 + x) + 9
5 + -8x = (3 * -2 + x * -2) + 9
5 + -8x = (-6 + -2x) + 9

Reorder the terms:
5 + -8x = -6 + 9 + -2x

Combine like terms: -6 + 9 = 3
5 + -8x = 3 + -2x

Solving
5 + -8x = 3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
5 + -8x + 2x = 3 + -2x + 2x

Combine like terms: -8x + 2x = -6x
5 + -6x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + -6x = 3 + 0
5 + -6x = 3

Add '-5' to each side of the equation.
5 + -5 + -6x = 3 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 3 + -5
-6x = 3 + -5

Combine like terms: 3 + -5 = -2
-6x = -2

Divide each side by '-6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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