3(x+6)+8=5x-2

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Solution for 3(x+6)+8=5x-2 equation:


Simplifying
3(x + 6) + 8 = 5x + -2

Reorder the terms:
3(6 + x) + 8 = 5x + -2
(6 * 3 + x * 3) + 8 = 5x + -2
(18 + 3x) + 8 = 5x + -2

Reorder the terms:
18 + 8 + 3x = 5x + -2

Combine like terms: 18 + 8 = 26
26 + 3x = 5x + -2

Reorder the terms:
26 + 3x = -2 + 5x

Solving
26 + 3x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
26 + 3x + -5x = -2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
26 + -2x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
26 + -2x = -2 + 0
26 + -2x = -2

Add '-26' to each side of the equation.
26 + -26 + -2x = -2 + -26

Combine like terms: 26 + -26 = 0
0 + -2x = -2 + -26
-2x = -2 + -26

Combine like terms: -2 + -26 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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