3+(2x+5)=6(x+1)+6

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Solution for 3+(2x+5)=6(x+1)+6 equation:


Simplifying
3 + (2x + 5) = 6(x + 1) + 6

Reorder the terms:
3 + (5 + 2x) = 6(x + 1) + 6

Remove parenthesis around (5 + 2x)
3 + 5 + 2x = 6(x + 1) + 6

Combine like terms: 3 + 5 = 8
8 + 2x = 6(x + 1) + 6

Reorder the terms:
8 + 2x = 6(1 + x) + 6
8 + 2x = (1 * 6 + x * 6) + 6
8 + 2x = (6 + 6x) + 6

Reorder the terms:
8 + 2x = 6 + 6 + 6x

Combine like terms: 6 + 6 = 12
8 + 2x = 12 + 6x

Solving
8 + 2x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 2x + -6x = 12 + 6x + -6x

Combine like terms: 2x + -6x = -4x
8 + -4x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -4x = 12 + 0
8 + -4x = 12

Add '-8' to each side of the equation.
8 + -8 + -4x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 12 + -8
-4x = 12 + -8

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

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

Simplifying
x = -1

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