3(x-22)+3(x-4)=30

Solution for 3(x-22)+3(x-4)=30 equation:

Simplifying
3(x + -22) + 3(x + -4) = 30

Reorder the terms:
3(-22 + x) + 3(x + -4) = 30
(-22 * 3 + x * 3) + 3(x + -4) = 30
(-66 + 3x) + 3(x + -4) = 30

Reorder the terms:
-66 + 3x + 3(-4 + x) = 30
-66 + 3x + (-4 * 3 + x * 3) = 30
-66 + 3x + (-12 + 3x) = 30

Reorder the terms:
-66 + -12 + 3x + 3x = 30

Combine like terms: -66 + -12 = -78
-78 + 3x + 3x = 30

Combine like terms: 3x + 3x = 6x
-78 + 6x = 30

Solving
-78 + 6x = 30

Solving for variable 'x'.

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

Add '78' to each side of the equation.
-78 + 78 + 6x = 30 + 78

Combine like terms: -78 + 78 = 0
0 + 6x = 30 + 78
6x = 30 + 78

Combine like terms: 30 + 78 = 108
6x = 108

Divide each side by '6'.
x = 18

Simplifying
x = 18