4(2x+1)+2(3x-1)=30

Solution for 4(2x+1)+2(3x-1)=30 equation:

Simplifying
4(2x + 1) + 2(3x + -1) = 30

Reorder the terms:
4(1 + 2x) + 2(3x + -1) = 30
(1 * 4 + 2x * 4) + 2(3x + -1) = 30
(4 + 8x) + 2(3x + -1) = 30

Reorder the terms:
4 + 8x + 2(-1 + 3x) = 30
4 + 8x + (-1 * 2 + 3x * 2) = 30
4 + 8x + (-2 + 6x) = 30

Reorder the terms:
4 + -2 + 8x + 6x = 30

Combine like terms: 4 + -2 = 2
2 + 8x + 6x = 30

Combine like terms: 8x + 6x = 14x
2 + 14x = 30

Solving
2 + 14x = 30

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 14x = 30 + -2

Combine like terms: 2 + -2 = 0
0 + 14x = 30 + -2
14x = 30 + -2

Combine like terms: 30 + -2 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2