6(x-4)-3(x+1)=3

Solution for 6(x-4)-3(x+1)=3 equation:

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

Reorder the terms:
6(-4 + x) + -3(x + 1) = 3
(-4 * 6 + x * 6) + -3(x + 1) = 3
(-24 + 6x) + -3(x + 1) = 3

Reorder the terms:
-24 + 6x + -3(1 + x) = 3
-24 + 6x + (1 * -3 + x * -3) = 3
-24 + 6x + (-3 + -3x) = 3

Reorder the terms:
-24 + -3 + 6x + -3x = 3

Combine like terms: -24 + -3 = -27
-27 + 6x + -3x = 3

Combine like terms: 6x + -3x = 3x
-27 + 3x = 3

Solving
-27 + 3x = 3

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 3x = 3 + 27

Combine like terms: -27 + 27 = 0
0 + 3x = 3 + 27
3x = 3 + 27

Combine like terms: 3 + 27 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10