5(x+2)+8=2(x-3)

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Solution for 5(x+2)+8=2(x-3) equation:


Simplifying
5(x + 2) + 8 = 2(x + -3)

Reorder the terms:
5(2 + x) + 8 = 2(x + -3)
(2 * 5 + x * 5) + 8 = 2(x + -3)
(10 + 5x) + 8 = 2(x + -3)

Reorder the terms:
10 + 8 + 5x = 2(x + -3)

Combine like terms: 10 + 8 = 18
18 + 5x = 2(x + -3)

Reorder the terms:
18 + 5x = 2(-3 + x)
18 + 5x = (-3 * 2 + x * 2)
18 + 5x = (-6 + 2x)

Solving
18 + 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.
18 + 5x + -2x = -6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
18 + 3x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 3x = -6 + 0
18 + 3x = -6

Add '-18' to each side of the equation.
18 + -18 + 3x = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = -6 + -18
3x = -6 + -18

Combine like terms: -6 + -18 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

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