3x+2(4x-3)=6x-9

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Solution for 3x+2(4x-3)=6x-9 equation:


Simplifying
3x + 2(4x + -3) = 6x + -9

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

Reorder the terms:
-6 + 3x + 8x = 6x + -9

Combine like terms: 3x + 8x = 11x
-6 + 11x = 6x + -9

Reorder the terms:
-6 + 11x = -9 + 6x

Solving
-6 + 11x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 11x + -6x = -9 + 6x + -6x

Combine like terms: 11x + -6x = 5x
-6 + 5x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + 5x = -9 + 0
-6 + 5x = -9

Add '6' to each side of the equation.
-6 + 6 + 5x = -9 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -9 + 6
5x = -9 + 6

Combine like terms: -9 + 6 = -3
5x = -3

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

Simplifying
x = -0.6

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