(x+2)=2(2x-1)+10

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Solution for (x+2)=2(2x-1)+10 equation: 


Simplifying
(x + 2) = 2(2x + -1) + 10

Reorder the terms:
(2 + x) = 2(2x + -1) + 10

Remove parenthesis around (2 + x)
2 + x = 2(2x + -1) + 10

Reorder the terms:
2 + x = 2(-1 + 2x) + 10
2 + x = (-1 * 2 + 2x * 2) + 10
2 + x = (-2 + 4x) + 10

Reorder the terms:
2 + x = -2 + 10 + 4x

Combine like terms: -2 + 10 = 8
2 + x = 8 + 4x

Solving
2 + x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + x + -4x = 8 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
2 + -3x = 8 + 0
2 + -3x = 8

Add '-2' to each side of the equation.
2 + -2 + -3x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 8 + -2
-3x = 8 + -2

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

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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