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

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


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

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

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

Solving
-6 + -2x = 15 + -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.
-6 + -2x + 3x = 15 + -3x + 3x

Combine like terms: -2x + 3x = 1x
-6 + 1x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 1x = 15 + 0
-6 + 1x = 15

Add '6' to each side of the equation.
-6 + 6 + 1x = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 15 + 6
1x = 15 + 6

Combine like terms: 15 + 6 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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