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

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


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

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

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

Combine like terms: 3 + 2 = 5
5 + 3x + x = 3(2x + 1) + 6

Combine like terms: 3x + x = 4x
5 + 4x = 3(2x + 1) + 6

Reorder the terms:
5 + 4x = 3(1 + 2x) + 6
5 + 4x = (1 * 3 + 2x * 3) + 6
5 + 4x = (3 + 6x) + 6

Reorder the terms:
5 + 4x = 3 + 6 + 6x

Combine like terms: 3 + 6 = 9
5 + 4x = 9 + 6x

Solving
5 + 4x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 4x + -6x = 9 + 6x + -6x

Combine like terms: 4x + -6x = -2x
5 + -2x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -2x = 9 + 0
5 + -2x = 9

Add '-5' to each side of the equation.
5 + -5 + -2x = 9 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 9 + -5
-2x = 9 + -5

Combine like terms: 9 + -5 = 4
-2x = 4

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

Simplifying
x = -2

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