2(x+2+2x-1)=2(5+x-1)

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Solution for 2(x+2+2x-1)=2(5+x-1) equation: 


Simplifying
2(x + 2 + 2x + -1) = 2(5 + x + -1)

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

Combine like terms: 2 + -1 = 1
2(1 + x + 2x) = 2(5 + x + -1)

Combine like terms: x + 2x = 3x
2(1 + 3x) = 2(5 + x + -1)
(1 * 2 + 3x * 2) = 2(5 + x + -1)
(2 + 6x) = 2(5 + x + -1)

Reorder the terms:
2 + 6x = 2(5 + -1 + x)

Combine like terms: 5 + -1 = 4
2 + 6x = 2(4 + x)
2 + 6x = (4 * 2 + x * 2)
2 + 6x = (8 + 2x)

Solving
2 + 6x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 6x + -2x = 8 + 2x + -2x

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

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

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

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

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

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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