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

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


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

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

Reorder the terms:
10 + -6x = 2 + 3x

Solving
10 + -6x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -6x + -3x = 2 + 3x + -3x

Combine like terms: -6x + -3x = -9x
10 + -9x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -9x = 2 + 0
10 + -9x = 2

Add '-10' to each side of the equation.
10 + -10 + -9x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 2 + -10
-9x = 2 + -10

Combine like terms: 2 + -10 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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