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) + -1(x + 2) = 8x + 2

Reorder the terms:
5(4 + x) + -1(x + 2) = 8x + 2
(4 * 5 + x * 5) + -1(x + 2) = 8x + 2
(20 + 5x) + -1(x + 2) = 8x + 2

Reorder the terms:
20 + 5x + -1(2 + x) = 8x + 2
20 + 5x + (2 * -1 + x * -1) = 8x + 2
20 + 5x + (-2 + -1x) = 8x + 2

Reorder the terms:
20 + -2 + 5x + -1x = 8x + 2

Combine like terms: 20 + -2 = 18
18 + 5x + -1x = 8x + 2

Combine like terms: 5x + -1x = 4x
18 + 4x = 8x + 2

Reorder the terms:
18 + 4x = 2 + 8x

Solving
18 + 4x = 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.
18 + 4x + -8x = 2 + 8x + -8x

Combine like terms: 4x + -8x = -4x
18 + -4x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -4x = 2 + 0
18 + -4x = 2

Add '-18' to each side of the equation.
18 + -18 + -4x = 2 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = 2 + -18
-4x = 2 + -18

Combine like terms: 2 + -18 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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