5x-2(4x-3)=6x+9

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Solution for 5x-2(4x-3)=6x+9 equation:


Simplifying
5x + -2(4x + -3) = 6x + 9

Reorder the terms:
5x + -2(-3 + 4x) = 6x + 9
5x + (-3 * -2 + 4x * -2) = 6x + 9
5x + (6 + -8x) = 6x + 9

Reorder the terms:
6 + 5x + -8x = 6x + 9

Combine like terms: 5x + -8x = -3x
6 + -3x = 6x + 9

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

Solving
6 + -3x = 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 + -3x + -6x = 9 + 6x + -6x

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

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

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

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

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

Divide each side by '-9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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