3(x-1)+7=2(x+1)

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Solution for 3(x-1)+7=2(x+1) equation:


Simplifying
3(x + -1) + 7 = 2(x + 1)

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

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

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

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

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

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

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

Add '-4' to each side of the equation.
4 + -4 + 1x = 2 + -4

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

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

Divide each side by '1'.
x = -2

Simplifying
x = -2

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