x+2(1x+3)-1=0.5(4x+4)

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Solution for x+2(1x+3)-1=0.5(4x+4) equation:


Simplifying
x + 2(1x + 3) + -1 = 0.5(4x + 4)

Reorder the terms:
x + 2(3 + 1x) + -1 = 0.5(4x + 4)
x + (3 * 2 + 1x * 2) + -1 = 0.5(4x + 4)
x + (6 + 2x) + -1 = 0.5(4x + 4)

Reorder the terms:
6 + -1 + x + 2x = 0.5(4x + 4)

Combine like terms: 6 + -1 = 5
5 + x + 2x = 0.5(4x + 4)

Combine like terms: x + 2x = 3x
5 + 3x = 0.5(4x + 4)

Reorder the terms:
5 + 3x = 0.5(4 + 4x)
5 + 3x = (4 * 0.5 + 4x * 0.5)
5 + 3x = (2 + 2x)

Solving
5 + 3x = 2 + 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.
5 + 3x + -2x = 2 + 2x + -2x

Combine like terms: 3x + -2x = 1x
5 + 1x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 1x = 2 + 0
5 + 1x = 2

Add '-5' to each side of the equation.
5 + -5 + 1x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 2 + -5
1x = 2 + -5

Combine like terms: 2 + -5 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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