2(3x-1)-5(x-2)=3(x+22)

Solution for 2(3x-1)-5(x-2)=3(x+22) equation:

Simplifying
2(3x + -1) + -5(x + -2) = 3(x + 22)

Reorder the terms:
2(-1 + 3x) + -5(x + -2) = 3(x + 22)
(-1 * 2 + 3x * 2) + -5(x + -2) = 3(x + 22)
(-2 + 6x) + -5(x + -2) = 3(x + 22)

Reorder the terms:
-2 + 6x + -5(-2 + x) = 3(x + 22)
-2 + 6x + (-2 * -5 + x * -5) = 3(x + 22)
-2 + 6x + (10 + -5x) = 3(x + 22)

Reorder the terms:
-2 + 10 + 6x + -5x = 3(x + 22)

Combine like terms: -2 + 10 = 8
8 + 6x + -5x = 3(x + 22)

Combine like terms: 6x + -5x = 1x
8 + 1x = 3(x + 22)

Reorder the terms:
8 + 1x = 3(22 + x)
8 + 1x = (22 * 3 + x * 3)
8 + 1x = (66 + 3x)

Solving
8 + 1x = 66 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 1x + -3x = 66 + 3x + -3x

Combine like terms: 1x + -3x = -2x
8 + -2x = 66 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -2x = 66 + 0
8 + -2x = 66

Add '-8' to each side of the equation.
8 + -8 + -2x = 66 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 66 + -8
-2x = 66 + -8

Combine like terms: 66 + -8 = 58
-2x = 58

Divide each side by '-2'.
x = -29

Simplifying
x = -29