6(2x-1)+9=2(x-2)

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Solution for 6(2x-1)+9=2(x-2) equation:


Simplifying
6(2x + -1) + 9 = 2(x + -2)

Reorder the terms:
6(-1 + 2x) + 9 = 2(x + -2)
(-1 * 6 + 2x * 6) + 9 = 2(x + -2)
(-6 + 12x) + 9 = 2(x + -2)

Reorder the terms:
-6 + 9 + 12x = 2(x + -2)

Combine like terms: -6 + 9 = 3
3 + 12x = 2(x + -2)

Reorder the terms:
3 + 12x = 2(-2 + x)
3 + 12x = (-2 * 2 + x * 2)
3 + 12x = (-4 + 2x)

Solving
3 + 12x = -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.
3 + 12x + -2x = -4 + 2x + -2x

Combine like terms: 12x + -2x = 10x
3 + 10x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 10x = -4 + 0
3 + 10x = -4

Add '-3' to each side of the equation.
3 + -3 + 10x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = -4 + -3
10x = -4 + -3

Combine like terms: -4 + -3 = -7
10x = -7

Divide each side by '10'.
x = -0.7

Simplifying
x = -0.7

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