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

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


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

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

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

Combine like terms: 9x + -2x = 7x
6 + 7x = 2(x + -2) + 8

Reorder the terms:
6 + 7x = 2(-2 + x) + 8
6 + 7x = (-2 * 2 + x * 2) + 8
6 + 7x = (-4 + 2x) + 8

Reorder the terms:
6 + 7x = -4 + 8 + 2x

Combine like terms: -4 + 8 = 4
6 + 7x = 4 + 2x

Solving
6 + 7x = 4 + 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.
6 + 7x + -2x = 4 + 2x + -2x

Combine like terms: 7x + -2x = 5x
6 + 5x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 5x = 4 + 0
6 + 5x = 4

Add '-6' to each side of the equation.
6 + -6 + 5x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 4 + -6
5x = 4 + -6

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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