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

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


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

Reorder the terms:
6 + -5(-4 + 3x) = 2(9 + -6x)
6 + (-4 * -5 + 3x * -5) = 2(9 + -6x)
6 + (20 + -15x) = 2(9 + -6x)

Combine like terms: 6 + 20 = 26
26 + -15x = 2(9 + -6x)
26 + -15x = (9 * 2 + -6x * 2)
26 + -15x = (18 + -12x)

Solving
26 + -15x = 18 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
26 + -15x + 12x = 18 + -12x + 12x

Combine like terms: -15x + 12x = -3x
26 + -3x = 18 + -12x + 12x

Combine like terms: -12x + 12x = 0
26 + -3x = 18 + 0
26 + -3x = 18

Add '-26' to each side of the equation.
26 + -26 + -3x = 18 + -26

Combine like terms: 26 + -26 = 0
0 + -3x = 18 + -26
-3x = 18 + -26

Combine like terms: 18 + -26 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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