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

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

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

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

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

Combine like terms: 4 + 1 = 5
5 + 4x + (-1x) = 10

Combine like terms: 4x + (-1x) = 3x
5 + 3x = 10

Solving
5 + 3x = 10

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 10 + -5
3x = 10 + -5

Combine like terms: 10 + -5 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667