3(x+2)-4(x-1)=6

Solution for 3(x+2)-4(x-1)=6 equation:

Simplifying
3(x + 2) + -4(x + -1) = 6

Reorder the terms:
3(2 + x) + -4(x + -1) = 6
(2 * 3 + x * 3) + -4(x + -1) = 6
(6 + 3x) + -4(x + -1) = 6

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

Reorder the terms:
6 + 4 + 3x + -4x = 6

Combine like terms: 6 + 4 = 10
10 + 3x + -4x = 6

Combine like terms: 3x + -4x = -1x
10 + -1x = 6

Solving
10 + -1x = 6

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 6 + -10
-1x = 6 + -10

Combine like terms: 6 + -10 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4