4x+6(x-1)=24

Solution for 4x+6(x-1)=24 equation:

Simplifying
4x + 6(x + -1) = 24

Reorder the terms:
4x + 6(-1 + x) = 24
4x + (-1 * 6 + x * 6) = 24
4x + (-6 + 6x) = 24

Reorder the terms:
-6 + 4x + 6x = 24

Combine like terms: 4x + 6x = 10x
-6 + 10x = 24

Solving
-6 + 10x = 24

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 + 10x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 24 + 6
10x = 24 + 6

Combine like terms: 24 + 6 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3