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

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


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

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

Remove parenthesis around (1 + x)
1 + x + 3(2 + x) = 12x + -1
1 + x + (2 * 3 + x * 3) = 12x + -1
1 + x + (6 + 3x) = 12x + -1

Reorder the terms:
1 + 6 + x + 3x = 12x + -1

Combine like terms: 1 + 6 = 7
7 + x + 3x = 12x + -1

Combine like terms: x + 3x = 4x
7 + 4x = 12x + -1

Reorder the terms:
7 + 4x = -1 + 12x

Solving
7 + 4x = -1 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
7 + 4x + -12x = -1 + 12x + -12x

Combine like terms: 4x + -12x = -8x
7 + -8x = -1 + 12x + -12x

Combine like terms: 12x + -12x = 0
7 + -8x = -1 + 0
7 + -8x = -1

Add '-7' to each side of the equation.
7 + -7 + -8x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -1 + -7
-8x = -1 + -7

Combine like terms: -1 + -7 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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