(x+1)+3(x+5)-12=(x+2)+3

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Solution for (x+1)+3(x+5)-12=(x+2)+3 equation:


Simplifying
(x + 1) + 3(x + 5) + -12 = (x + 2) + 3

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

Remove parenthesis around (1 + x)
1 + x + 3(x + 5) + -12 = (x + 2) + 3

Reorder the terms:
1 + x + 3(5 + x) + -12 = (x + 2) + 3
1 + x + (5 * 3 + x * 3) + -12 = (x + 2) + 3
1 + x + (15 + 3x) + -12 = (x + 2) + 3

Reorder the terms:
1 + 15 + -12 + x + 3x = (x + 2) + 3

Combine like terms: 1 + 15 = 16
16 + -12 + x + 3x = (x + 2) + 3

Combine like terms: 16 + -12 = 4
4 + x + 3x = (x + 2) + 3

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

Reorder the terms:
4 + 4x = (2 + x) + 3

Remove parenthesis around (2 + x)
4 + 4x = 2 + x + 3

Reorder the terms:
4 + 4x = 2 + 3 + x

Combine like terms: 2 + 3 = 5
4 + 4x = 5 + x

Solving
4 + 4x = 5 + 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.
4 + 4x + -1x = 5 + x + -1x

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

Combine like terms: x + -1x = 0
4 + 3x = 5 + 0
4 + 3x = 5

Add '-4' to each side of the equation.
4 + -4 + 3x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 5 + -4
3x = 5 + -4

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

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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