6x+2(3+x)=7x+1

Solution for 6x+2(3+x)=7x+1 equation:

Simplifying
6x + 2(3 + x) = 7x + 1
6x + (3 * 2 + x * 2) = 7x + 1
6x + (6 + 2x) = 7x + 1

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

Combine like terms: 6x + 2x = 8x
6 + 8x = 7x + 1

Reorder the terms:
6 + 8x = 1 + 7x

Solving
6 + 8x = 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 + 8x + -7x = 1 + 7x + -7x

Combine like terms: 8x + -7x = 1x
6 + 1x = 1 + 7x + -7x

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

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

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

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

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

Simplifying
x = -5