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

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


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

Reorder the terms:
-2(-5 + 3x) = 2(3x + -8)
(-5 * -2 + 3x * -2) = 2(3x + -8)
(10 + -6x) = 2(3x + -8)

Reorder the terms:
10 + -6x = 2(-8 + 3x)
10 + -6x = (-8 * 2 + 3x * 2)
10 + -6x = (-16 + 6x)

Solving
10 + -6x = -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.
10 + -6x + -6x = -16 + 6x + -6x

Combine like terms: -6x + -6x = -12x
10 + -12x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -12x = -16 + 0
10 + -12x = -16

Add '-10' to each side of the equation.
10 + -10 + -12x = -16 + -10

Combine like terms: 10 + -10 = 0
0 + -12x = -16 + -10
-12x = -16 + -10

Combine like terms: -16 + -10 = -26
-12x = -26

Divide each side by '-12'.
x = 2.166666667

Simplifying
x = 2.166666667

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