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

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

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

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

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

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

Combine like terms: 6 + 1 = 7
7 + 3x + -1x = 3(3 + -4)

Combine like terms: 3x + -1x = 2x
7 + 2x = 3(3 + -4)

Combine like terms: 3 + -4 = -1
7 + 2x = 3(-1)

Multiply 3 * -1
7 + 2x = -3

Solving
7 + 2x = -3

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 2x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = -3 + -7
2x = -3 + -7

Combine like terms: -3 + -7 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5