2(3x-4)+9=x-2

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Solution for 2(3x-4)+9=x-2 equation:


Simplifying
2(3x + -4) + 9 = x + -2

Reorder the terms:
2(-4 + 3x) + 9 = x + -2
(-4 * 2 + 3x * 2) + 9 = x + -2
(-8 + 6x) + 9 = x + -2

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

Combine like terms: -8 + 9 = 1
1 + 6x = x + -2

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

Solving
1 + 6x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1 + 6x + -1x = -2 + x + -1x

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

Combine like terms: x + -1x = 0
1 + 5x = -2 + 0
1 + 5x = -2

Add '-1' to each side of the equation.
1 + -1 + 5x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = -2 + -1
5x = -2 + -1

Combine like terms: -2 + -1 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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