3x-4(2x+3)=2(3x-8)

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Solution for 3x-4(2x+3)=2(3x-8) equation:


Simplifying
3x + -4(2x + 3) = 2(3x + -8)

Reorder the terms:
3x + -4(3 + 2x) = 2(3x + -8)
3x + (3 * -4 + 2x * -4) = 2(3x + -8)
3x + (-12 + -8x) = 2(3x + -8)

Reorder the terms:
-12 + 3x + -8x = 2(3x + -8)

Combine like terms: 3x + -8x = -5x
-12 + -5x = 2(3x + -8)

Reorder the terms:
-12 + -5x = 2(-8 + 3x)
-12 + -5x = (-8 * 2 + 3x * 2)
-12 + -5x = (-16 + 6x)

Solving
-12 + -5x = -16 + 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.
-12 + -5x + -6x = -16 + 6x + -6x

Combine like terms: -5x + -6x = -11x
-12 + -11x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -11x = -16 + 0
-12 + -11x = -16

Add '12' to each side of the equation.
-12 + 12 + -11x = -16 + 12

Combine like terms: -12 + 12 = 0
0 + -11x = -16 + 12
-11x = -16 + 12

Combine like terms: -16 + 12 = -4
-11x = -4

Divide each side by '-11'.
x = 0.3636363636

Simplifying
x = 0.3636363636

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