7(x+1)-1=3(3-2x)+10

Solution for 7(x+1)-1=3(3-2x)+10 equation:

Simplifying
7(x + 1) + -1 = 3(3 + -2x) + 10

Reorder the terms:
7(1 + x) + -1 = 3(3 + -2x) + 10
(1 * 7 + x * 7) + -1 = 3(3 + -2x) + 10
(7 + 7x) + -1 = 3(3 + -2x) + 10

Reorder the terms:
7 + -1 + 7x = 3(3 + -2x) + 10

Combine like terms: 7 + -1 = 6
6 + 7x = 3(3 + -2x) + 10
6 + 7x = (3 * 3 + -2x * 3) + 10
6 + 7x = (9 + -6x) + 10

Reorder the terms:
6 + 7x = 9 + 10 + -6x

Combine like terms: 9 + 10 = 19
6 + 7x = 19 + -6x

Solving
6 + 7x = 19 + -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 + 7x + 6x = 19 + -6x + 6x

Combine like terms: 7x + 6x = 13x
6 + 13x = 19 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 13x = 19 + 0
6 + 13x = 19

Add '-6' to each side of the equation.
6 + -6 + 13x = 19 + -6

Combine like terms: 6 + -6 = 0
0 + 13x = 19 + -6
13x = 19 + -6

Combine like terms: 19 + -6 = 13
13x = 13

Divide each side by '13'.
x = 1

Simplifying
x = 1