3(x+1)+4=5-2(x-1)

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Solution for 3(x+1)+4=5-2(x-1) equation:


Simplifying
3(x + 1) + 4 = 5 + -2(x + -1)

Reorder the terms:
3(1 + x) + 4 = 5 + -2(x + -1)
(1 * 3 + x * 3) + 4 = 5 + -2(x + -1)
(3 + 3x) + 4 = 5 + -2(x + -1)

Reorder the terms:
3 + 4 + 3x = 5 + -2(x + -1)

Combine like terms: 3 + 4 = 7
7 + 3x = 5 + -2(x + -1)

Reorder the terms:
7 + 3x = 5 + -2(-1 + x)
7 + 3x = 5 + (-1 * -2 + x * -2)
7 + 3x = 5 + (2 + -2x)

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 7 + -7 + -2x

Combine like terms: 7 + -7 = 0
0 + 3x = 7 + -7 + -2x
3x = 7 + -7 + -2x

Combine like terms: 7 + -7 = 0
3x = 0 + -2x
3x = -2x

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

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

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

Divide each side by '5'.
x = 0

Simplifying
x = 0

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