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

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

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

Reorder the terms:
7(1 + x) + -2(3 + -2x) = 1
(1 * 7 + x * 7) + -2(3 + -2x) = 1
(7 + 7x) + -2(3 + -2x) = 1
7 + 7x + (3 * -2 + -2x * -2) = 1
7 + 7x + (-6 + 4x) = 1

Reorder the terms:
7 + -6 + 7x + 4x = 1

Combine like terms: 7 + -6 = 1
1 + 7x + 4x = 1

Combine like terms: 7x + 4x = 11x
1 + 11x = 1

Add '-1' to each side of the equation.
1 + -1 + 11x = 1 + -1

Combine like terms: 1 + -1 = 0
0 + 11x = 1 + -1
11x = 1 + -1

Combine like terms: 1 + -1 = 0
11x = 0

Solving
11x = 0

Solving for variable 'x'.

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

Divide each side by '11'.
x = 0

Simplifying
x = 0