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

Solving
1 + 2x = 6 + 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.
1 + 2x + -3x = 6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
1 + -1x = 6 + 0
1 + -1x = 6

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

Combine like terms: 1 + -1 = 0
0 + -1x = 6 + -1
-1x = 6 + -1

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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