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

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


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

Reorder the terms:
5(4 + x) + (x + 2) = 8x + 2
(4 * 5 + x * 5) + (x + 2) = 8x + 2
(20 + 5x) + (x + 2) = 8x + 2

Reorder the terms:
20 + 5x + (2 + x) = 8x + 2

Remove parenthesis around (2 + x)
20 + 5x + 2 + x = 8x + 2

Reorder the terms:
20 + 2 + 5x + x = 8x + 2

Combine like terms: 20 + 2 = 22
22 + 5x + x = 8x + 2

Combine like terms: 5x + x = 6x
22 + 6x = 8x + 2

Reorder the terms:
22 + 6x = 2 + 8x

Solving
22 + 6x = 2 + 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.
22 + 6x + -8x = 2 + 8x + -8x

Combine like terms: 6x + -8x = -2x
22 + -2x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
22 + -2x = 2 + 0
22 + -2x = 2

Add '-22' to each side of the equation.
22 + -22 + -2x = 2 + -22

Combine like terms: 22 + -22 = 0
0 + -2x = 2 + -22
-2x = 2 + -22

Combine like terms: 2 + -22 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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