3(X-1)-4(5-X)=2(6+X)

Solution for 3(X-1)-4(5-X)=2(6+X) equation:

Simplifying
3(X + -1) + -4(5 + -1X) = 2(6 + X)

Reorder the terms:
3(-1 + X) + -4(5 + -1X) = 2(6 + X)
(-1 * 3 + X * 3) + -4(5 + -1X) = 2(6 + X)
(-3 + 3X) + -4(5 + -1X) = 2(6 + X)
-3 + 3X + (5 * -4 + -1X * -4) = 2(6 + X)
-3 + 3X + (-20 + 4X) = 2(6 + X)

Reorder the terms:
-3 + -20 + 3X + 4X = 2(6 + X)

Combine like terms: -3 + -20 = -23
-23 + 3X + 4X = 2(6 + X)

Combine like terms: 3X + 4X = 7X
-23 + 7X = 2(6 + X)
-23 + 7X = (6 * 2 + X * 2)
-23 + 7X = (12 + 2X)

Solving
-23 + 7X = 12 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
-23 + 7X + -2X = 12 + 2X + -2X

Combine like terms: 7X + -2X = 5X
-23 + 5X = 12 + 2X + -2X

Combine like terms: 2X + -2X = 0
-23 + 5X = 12 + 0
-23 + 5X = 12

Add '23' to each side of the equation.
-23 + 23 + 5X = 12 + 23

Combine like terms: -23 + 23 = 0
0 + 5X = 12 + 23
5X = 12 + 23

Combine like terms: 12 + 23 = 35
5X = 35

Divide each side by '5'.
X = 7

Simplifying
X = 7