2(3x-2)+2(2x+7)=30

Solution for 2(3x-2)+2(2x+7)=30 equation:

Simplifying
2(3x + -2) + 2(2x + 7) = 30

Reorder the terms:
2(-2 + 3x) + 2(2x + 7) = 30
(-2 * 2 + 3x * 2) + 2(2x + 7) = 30
(-4 + 6x) + 2(2x + 7) = 30

Reorder the terms:
-4 + 6x + 2(7 + 2x) = 30
-4 + 6x + (7 * 2 + 2x * 2) = 30
-4 + 6x + (14 + 4x) = 30

Reorder the terms:
-4 + 14 + 6x + 4x = 30

Combine like terms: -4 + 14 = 10
10 + 6x + 4x = 30

Combine like terms: 6x + 4x = 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 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2