3(x+4)+8=5x+2

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Solution for 3(x+4)+8=5x+2 equation:


Simplifying
3(x + 4) + 8 = 5x + 2

Reorder the terms:
3(4 + x) + 8 = 5x + 2
(4 * 3 + x * 3) + 8 = 5x + 2
(12 + 3x) + 8 = 5x + 2

Reorder the terms:
12 + 8 + 3x = 5x + 2

Combine like terms: 12 + 8 = 20
20 + 3x = 5x + 2

Reorder the terms:
20 + 3x = 2 + 5x

Solving
20 + 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.
20 + 3x + -5x = 2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
20 + -2x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -2x = 2 + 0
20 + -2x = 2

Add '-20' to each side of the equation.
20 + -20 + -2x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 2 + -20
-2x = 2 + -20

Combine like terms: 2 + -20 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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