2(x+4)-(x+1)=10

Solution for 2(x+4)-(x+1)=10 equation:

Simplifying
2(x + 4) + -1(x + 1) = 10

Reorder the terms:
2(4 + x) + -1(x + 1) = 10
(4 * 2 + x * 2) + -1(x + 1) = 10
(8 + 2x) + -1(x + 1) = 10

Reorder the terms:
8 + 2x + -1(1 + x) = 10
8 + 2x + (1 * -1 + x * -1) = 10
8 + 2x + (-1 + -1x) = 10

Reorder the terms:
8 + -1 + 2x + -1x = 10

Combine like terms: 8 + -1 = 7
7 + 2x + -1x = 10

Combine like terms: 2x + -1x = 1x
7 + 1x = 10

Solving
7 + 1x = 10

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 1x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 10 + -7
1x = 10 + -7

Combine like terms: 10 + -7 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3