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 = -9
-9 + 2x + -1x = 10

Combine like terms: 2x + -1x = 1x
-9 + 1x = 10

Solving
-9 + 1x = 10

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 1x = 10 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 10 + 9
1x = 10 + 9

Combine like terms: 10 + 9 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19