8(x-2)+2(x+3)=30

Solution for 8(x-2)+2(x+3)=30 equation:

Simplifying
8(x + -2) + 2(x + 3) = 30

Reorder the terms:
8(-2 + x) + 2(x + 3) = 30
(-2 * 8 + x * 8) + 2(x + 3) = 30
(-16 + 8x) + 2(x + 3) = 30

Reorder the terms:
-16 + 8x + 2(3 + x) = 30
-16 + 8x + (3 * 2 + x * 2) = 30
-16 + 8x + (6 + 2x) = 30

Reorder the terms:
-16 + 6 + 8x + 2x = 30

Combine like terms: -16 + 6 = -10
-10 + 8x + 2x = 30

Combine like terms: 8x + 2x = 10x
-10 + 10x = 30

Solving
-10 + 10x = 30

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 10x = 30 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = 30 + 10
10x = 30 + 10

Combine like terms: 30 + 10 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4