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

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


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

Reorder the terms:
5(3 + x) = 8x + -8 + 2
(3 * 5 + x * 5) = 8x + -8 + 2
(15 + 5x) = 8x + -8 + 2

Reorder the terms:
15 + 5x = -8 + 2 + 8x

Combine like terms: -8 + 2 = -6
15 + 5x = -6 + 8x

Solving
15 + 5x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
15 + 5x + -8x = -6 + 8x + -8x

Combine like terms: 5x + -8x = -3x
15 + -3x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 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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