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

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


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

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

Remove parenthesis around (1 + x)
(x + 1 + x) * 3 = x + 2

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

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

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

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

Solving
3 + 6x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 6x + -1x = 2 + x + -1x

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

Combine like terms: x + -1x = 0
3 + 5x = 2 + 0
3 + 5x = 2

Add '-3' to each side of the equation.
3 + -3 + 5x = 2 + -3

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

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

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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