3(x+1)=-2(x+1)+6

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Solution for 3(x+1)=-2(x+1)+6 equation:


Simplifying
3(x + 1) = -2(x + 1) + 6

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

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

Reorder the terms:
3 + 3x = -2 + 6 + -2x

Combine like terms: -2 + 6 = 4
3 + 3x = 4 + -2x

Solving
3 + 3x = 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.
3 + 3x + 2x = 4 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
3 + 5x = 4 + 0
3 + 5x = 4

Add '-3' to each side of the equation.
3 + -3 + 5x = 4 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 4 + -3
5x = 4 + -3

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

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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