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

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

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

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

Reorder the terms:
6 + 4x = 2 + 1 + 6x

Combine like terms: 2 + 1 = 3
6 + 4x = 3 + 6x

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

Combine like terms: 4x + -6x = -2x
6 + -2x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -2x = 3 + 0
6 + -2x = 3

Add '-6' to each side of the equation.
6 + -6 + -2x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 3 + -6
-2x = 3 + -6

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5