2(x+3)=7x+1

Solution for 2(x+3)=7x+1 equation:

Simplifying
2(x + 3) = 7x + 1

Reorder the terms:
2(3 + x) = 7x + 1
(3 * 2 + x * 2) = 7x + 1
(6 + 2x) = 7x + 1

Reorder the terms:
6 + 2x = 1 + 7x

Solving
6 + 2x = 1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 2x + -7x = 1 + 7x + -7x

Combine like terms: 2x + -7x = -5x
6 + -5x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -5x = 1 + 0
6 + -5x = 1

Add '-6' to each side of the equation.
6 + -6 + -5x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 1 + -6
-5x = 1 + -6

Combine like terms: 1 + -6 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1