2[x-3-2x+9]=3x-8

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Solution for 2[x-3-2x+9]=3x-8 equation:


Simplifying
2[x + -3 + -2x + 9] = 3x + -8

Reorder the terms:
2[-3 + 9 + x + -2x] = 3x + -8

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

Combine like terms: x + -2x = -1x
2[6 + -1x] = 3x + -8
[6 * 2 + -1x * 2] = 3x + -8
[12 + -2x] = 3x + -8

Reorder the terms:
12 + -2x = -8 + 3x

Solving
12 + -2x = -8 + 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.
12 + -2x + -3x = -8 + 3x + -3x

Combine like terms: -2x + -3x = -5x
12 + -5x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -5x = -8 + 0
12 + -5x = -8

Add '-12' to each side of the equation.
12 + -12 + -5x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -8 + -12
-5x = -8 + -12

Combine like terms: -8 + -12 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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