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

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


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

Reorder the terms:
2(8 + 4x) + 2 = 8 + 2(5x)
(8 * 2 + 4x * 2) + 2 = 8 + 2(5x)
(16 + 8x) + 2 = 8 + 2(5x)

Reorder the terms:
16 + 2 + 8x = 8 + 2(5x)

Combine like terms: 16 + 2 = 18
18 + 8x = 8 + 2(5x)

Remove parenthesis around (5x)
18 + 8x = 8 + 2 * 5x

Multiply 2 * 5
18 + 8x = 8 + 10x

Solving
18 + 8x = 8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
18 + 8x + -10x = 8 + 10x + -10x

Combine like terms: 8x + -10x = -2x
18 + -2x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + -2x = 8 + 0
18 + -2x = 8

Add '-18' to each side of the equation.
18 + -18 + -2x = 8 + -18

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

Combine like terms: 8 + -18 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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