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

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


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

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

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

Solving
15 + 5x = -6 + 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 = -6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
15 + 3x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 3x = -6 + 0
15 + 3x = -6

Add '-15' to each side of the equation.
15 + -15 + 3x = -6 + -15

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

Combine like terms: -6 + -15 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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