3(x-1)+(x-3)=5

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

Simplifying
3(x + -1) + (x + -3) = 5

Reorder the terms:
3(-1 + x) + (x + -3) = 5
(-1 * 3 + x * 3) + (x + -3) = 5
(-3 + 3x) + (x + -3) = 5

Reorder the terms:
-3 + 3x + (-3 + x) = 5

Remove parenthesis around (-3 + x)
-3 + 3x + -3 + x = 5

Reorder the terms:
-3 + -3 + 3x + x = 5

Combine like terms: -3 + -3 = -6
-6 + 3x + x = 5

Combine like terms: 3x + x = 4x
-6 + 4x = 5

Solving
-6 + 4x = 5

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 5 + 6
4x = 5 + 6

Combine like terms: 5 + 6 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75