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

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


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

Reorder the terms:
3(2 + x) + -1(x + 1) = 3(x + -4)
(2 * 3 + x * 3) + -1(x + 1) = 3(x + -4)
(6 + 3x) + -1(x + 1) = 3(x + -4)

Reorder the terms:
6 + 3x + -1(1 + x) = 3(x + -4)
6 + 3x + (1 * -1 + x * -1) = 3(x + -4)
6 + 3x + (-1 + -1x) = 3(x + -4)

Reorder the terms:
6 + -1 + 3x + -1x = 3(x + -4)

Combine like terms: 6 + -1 = 5
5 + 3x + -1x = 3(x + -4)

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

Reorder the terms:
5 + 2x = 3(-4 + x)
5 + 2x = (-4 * 3 + x * 3)
5 + 2x = (-12 + 3x)

Solving
5 + 2x = -12 + 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.
5 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
5 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -1x = -12 + 0
5 + -1x = -12

Add '-5' to each side of the equation.
5 + -5 + -1x = -12 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -12 + -5
-1x = -12 + -5

Combine like terms: -12 + -5 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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