x+(x+2)+5=3(x+1)

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Solution for x+(x+2)+5=3(x+1) equation:


Simplifying
x + (x + 2) + 5 = 3(x + 1)

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

Remove parenthesis around (2 + x)
x + 2 + x + 5 = 3(x + 1)

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

Combine like terms: 2 + 5 = 7
7 + x + x = 3(x + 1)

Combine like terms: x + x = 2x
7 + 2x = 3(x + 1)

Reorder the terms:
7 + 2x = 3(1 + x)
7 + 2x = (1 * 3 + x * 3)
7 + 2x = (3 + 3x)

Solving
7 + 2x = 3 + 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.
7 + 2x + -3x = 3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
7 + -1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -1x = 3 + 0
7 + -1x = 3

Add '-7' to each side of the equation.
7 + -7 + -1x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 3 + -7
-1x = 3 + -7

Combine like terms: 3 + -7 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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