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

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


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

Reorder the terms:
4(2 + x) + -3(1 + -1x) = x + 2
(2 * 4 + x * 4) + -3(1 + -1x) = x + 2
(8 + 4x) + -3(1 + -1x) = x + 2
8 + 4x + (1 * -3 + -1x * -3) = x + 2
8 + 4x + (-3 + 3x) = x + 2

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

Combine like terms: 8 + -3 = 5
5 + 4x + 3x = x + 2

Combine like terms: 4x + 3x = 7x
5 + 7x = x + 2

Reorder the terms:
5 + 7x = 2 + x

Solving
5 + 7x = 2 + x

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.
5 + 7x + -1x = 2 + x + -1x

Combine like terms: 7x + -1x = 6x
5 + 6x = 2 + x + -1x

Combine like terms: x + -1x = 0
5 + 6x = 2 + 0
5 + 6x = 2

Add '-5' to each side of the equation.
5 + -5 + 6x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 2 + -5
6x = 2 + -5

Combine like terms: 2 + -5 = -3
6x = -3

Divide each side by '6'.
x = -0.5

Simplifying
x = -0.5

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