5(x+3)=2x-3

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


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

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

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

Solving
15 + 5x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + 5x + -2x = -3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
15 + 3x = -3 + 0
15 + 3x = -3

Add '-15' to each side of the equation.
15 + -15 + 3x = -3 + -15

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

Combine like terms: -3 + -15 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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