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

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


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

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

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

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

Combine like terms: 3x + 2x = 5x
1 + 5x = -2x + 4

Reorder the terms:
1 + 5x = 4 + -2x

Solving
1 + 5x = 4 + -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.
1 + 5x + 2x = 4 + -2x + 2x

Combine like terms: 5x + 2x = 7x
1 + 7x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 7x = 4 + 0
1 + 7x = 4

Add '-1' to each side of the equation.
1 + -1 + 7x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 4 + -1
7x = 4 + -1

Combine like terms: 4 + -1 = 3
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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