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

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

Reorder the terms:
2(-4 + 3x) + -3(x + -1) = x + -1
(-4 * 2 + 3x * 2) + -3(x + -1) = x + -1
(-8 + 6x) + -3(x + -1) = x + -1

Reorder the terms:
-8 + 6x + -3(-1 + x) = x + -1
-8 + 6x + (-1 * -3 + x * -3) = x + -1
-8 + 6x + (3 + -3x) = x + -1

Reorder the terms:
-8 + 3 + 6x + -3x = x + -1

Combine like terms: -8 + 3 = -5
-5 + 6x + -3x = x + -1

Combine like terms: 6x + -3x = 3x
-5 + 3x = x + -1

Reorder the terms:
-5 + 3x = -1 + x

Solving
-5 + 3x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 3x + -1x = -1 + x + -1x

Combine like terms: 3x + -1x = 2x
-5 + 2x = -1 + x + -1x

Combine like terms: x + -1x = 0
-5 + 2x = -1 + 0
-5 + 2x = -1

Add '5' to each side of the equation.
-5 + 5 + 2x = -1 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -1 + 5
2x = -1 + 5

ANSWER: X= 2