2+(x+6)=3+(4x-1)

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Solution for 2+(x+6)=3+(4x-1) equation:


Simplifying
2 + (x + 6) = 3 + (4x + -1)

Reorder the terms:
2 + (6 + x) = 3 + (4x + -1)

Remove parenthesis around (6 + x)
2 + 6 + x = 3 + (4x + -1)

Combine like terms: 2 + 6 = 8
8 + x = 3 + (4x + -1)

Reorder the terms:
8 + x = 3 + (-1 + 4x)

Remove parenthesis around (-1 + 4x)
8 + x = 3 + -1 + 4x

Combine like terms: 3 + -1 = 2
8 + x = 2 + 4x

Solving
8 + x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + x + -4x = 2 + 4x + -4x

Combine like terms: x + -4x = -3x
8 + -3x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -3x = 2 + 0
8 + -3x = 2

Add '-8' to each side of the equation.
8 + -8 + -3x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 2 + -8
-3x = 2 + -8

Combine like terms: 2 + -8 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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