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

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


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

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

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

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

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

Solving
1 + 2x = -3 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + 2x + 3x = -3 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
1 + 5x = -3 + 0
1 + 5x = -3

Add '-1' to each side of the equation.
1 + -1 + 5x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = -3 + -1
5x = -3 + -1

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

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8

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