2(3x-1)=-2(4x-3)+9x

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Solution for 2(3x-1)=-2(4x-3)+9x equation:


Simplifying
2(3x + -1) = -2(4x + -3) + 9x

Reorder the terms:
2(-1 + 3x) = -2(4x + -3) + 9x
(-1 * 2 + 3x * 2) = -2(4x + -3) + 9x
(-2 + 6x) = -2(4x + -3) + 9x

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

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

Solving
-2 + 6x = 6 + 1x

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.
-2 + 6x + -1x = 6 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
-2 + 5x = 6 + 0
-2 + 5x = 6

Add '2' to each side of the equation.
-2 + 2 + 5x = 6 + 2

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

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

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

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