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

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


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

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

Combine like terms: 3 + -1 = 2
2 + -1x = 2(x + 6)

Reorder the terms:
2 + -1x = 2(6 + x)
2 + -1x = (6 * 2 + x * 2)
2 + -1x = (12 + 2x)

Solving
2 + -1x = 12 + 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.
2 + -1x + -2x = 12 + 2x + -2x

Combine like terms: -1x + -2x = -3x
2 + -3x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -3x = 12 + 0
2 + -3x = 12

Add '-2' to each side of the equation.
2 + -2 + -3x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 12 + -2
-3x = 12 + -2

Combine like terms: 12 + -2 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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