3(5x+2)-7(x+1)=71

Solution for 3(5x+2)-7(x+1)=71 equation:

Simplifying
3(5x + 2) + -7(x + 1) = 71

Reorder the terms:
3(2 + 5x) + -7(x + 1) = 71
(2 * 3 + 5x * 3) + -7(x + 1) = 71
(6 + 15x) + -7(x + 1) = 71

Reorder the terms:
6 + 15x + -7(1 + x) = 71
6 + 15x + (1 * -7 + x * -7) = 71
6 + 15x + (-7 + -7x) = 71

Reorder the terms:
6 + -7 + 15x + -7x = 71

Combine like terms: 6 + -7 = -1
-1 + 15x + -7x = 71

Combine like terms: 15x + -7x = 8x
-1 + 8x = 71

Solving
-1 + 8x = 71

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 8x = 71 + 1

Combine like terms: -1 + 1 = 0
0 + 8x = 71 + 1
8x = 71 + 1

Combine like terms: 71 + 1 = 72
8x = 72

Divide each side by '8'.
x = 9

Simplifying
x = 9