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

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


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

Reorder the terms:
8 + 2x = 2(6 + 2x) + -3(x + -2)
8 + 2x = (6 * 2 + 2x * 2) + -3(x + -2)
8 + 2x = (12 + 4x) + -3(x + -2)

Reorder the terms:
8 + 2x = 12 + 4x + -3(-2 + x)
8 + 2x = 12 + 4x + (-2 * -3 + x * -3)
8 + 2x = 12 + 4x + (6 + -3x)

Reorder the terms:
8 + 2x = 12 + 6 + 4x + -3x

Combine like terms: 12 + 6 = 18
8 + 2x = 18 + 4x + -3x

Combine like terms: 4x + -3x = 1x
8 + 2x = 18 + 1x

Solving
8 + 2x = 18 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 2x + -1x = 18 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
8 + 1x = 18 + 0
8 + 1x = 18

Add '-8' to each side of the equation.
8 + -8 + 1x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 18 + -8
1x = 18 + -8

Combine like terms: 18 + -8 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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