4(x-1)-(x-3)=10

Solution for 4(x-1)-(x-3)=10 equation:

Simplifying
4(x + -1) + -1(x + -3) = 10

Reorder the terms:
4(-1 + x) + -1(x + -3) = 10
(-1 * 4 + x * 4) + -1(x + -3) = 10
(-4 + 4x) + -1(x + -3) = 10

Reorder the terms:
-4 + 4x + -1(-3 + x) = 10
-4 + 4x + (-3 * -1 + x * -1) = 10
-4 + 4x + (3 + -1x) = 10

Reorder the terms:
-4 + 3 + 4x + -1x = 10

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

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

Solving
-1 + 3x = 10

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 + 3x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 10 + 1
3x = 10 + 1

Combine like terms: 10 + 1 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667