-5(x-8)+3x=2(3x-6)

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Solution for -5(x-8)+3x=2(3x-6) equation:


Simplifying
-5(x + -8) + 3x = 2(3x + -6)

Reorder the terms:
-5(-8 + x) + 3x = 2(3x + -6)
(-8 * -5 + x * -5) + 3x = 2(3x + -6)
(40 + -5x) + 3x = 2(3x + -6)

Combine like terms: -5x + 3x = -2x
40 + -2x = 2(3x + -6)

Reorder the terms:
40 + -2x = 2(-6 + 3x)
40 + -2x = (-6 * 2 + 3x * 2)
40 + -2x = (-12 + 6x)

Solving
40 + -2x = -12 + 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.
40 + -2x + -6x = -12 + 6x + -6x

Combine like terms: -2x + -6x = -8x
40 + -8x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
40 + -8x = -12 + 0
40 + -8x = -12

Add '-40' to each side of the equation.
40 + -40 + -8x = -12 + -40

Combine like terms: 40 + -40 = 0
0 + -8x = -12 + -40
-8x = -12 + -40

Combine like terms: -12 + -40 = -52
-8x = -52

Divide each side by '-8'.
x = 6.5

Simplifying
x = 6.5

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