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

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


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

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

Combine like terms: 2x + -3x = -1x
15 + 5x = -1x

Solving
15 + 5x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
15 + 5x + x = -1x + x

Combine like terms: 5x + x = 6x
15 + 6x = -1x + x

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

Add '-15' to each side of the equation.
15 + -15 + 6x = 0 + -15

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

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

Divide each side by '6'.
x = -2.5

Simplifying
x = -2.5

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