3x+6=4(x-2)+11

Solution for 3x+6=4(x-2)+11 equation:

Simplifying
3x + 6 = 4(x + -2) + 11

Reorder the terms:
6 + 3x = 4(x + -2) + 11

Reorder the terms:
6 + 3x = 4(-2 + x) + 11
6 + 3x = (-2 * 4 + x * 4) + 11
6 + 3x = (-8 + 4x) + 11

Reorder the terms:
6 + 3x = -8 + 11 + 4x

Combine like terms: -8 + 11 = 3
6 + 3x = 3 + 4x

Solving
6 + 3x = 3 + 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.
6 + 3x + -4x = 3 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 3 + 0
6 + -1x = 3

Add '-6' to each side of the equation.
6 + -6 + -1x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 3 + -6
-1x = 3 + -6

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3