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

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


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

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

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

Combine like terms: -15x + 3x = -12x
-6 + -2x = 6 + -12x

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

Combine like terms: -2x + 12x = 10x
-6 + 10x = 6 + -12x + 12x

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

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

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

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

Divide each side by '10'.
x = 1.2

Simplifying
x = 1.2

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