2+4(3x+1)=3(-2x+8)

Solution for 2+4(3x+1)=3(-2x+8) equation:

Simplifying
2 + 4(3x + 1) = 3(-2x + 8)

Reorder the terms:
2 + 4(1 + 3x) = 3(-2x + 8)
2 + (1 * 4 + 3x * 4) = 3(-2x + 8)
2 + (4 + 12x) = 3(-2x + 8)

Combine like terms: 2 + 4 = 6
6 + 12x = 3(-2x + 8)

Reorder the terms:
6 + 12x = 3(8 + -2x)
6 + 12x = (8 * 3 + -2x * 3)
6 + 12x = (24 + -6x)

Solving
6 + 12x = 24 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
6 + 12x + 6x = 24 + -6x + 6x

Combine like terms: 12x + 6x = 18x
6 + 18x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 18x = 24 + 0
6 + 18x = 24

Add '-6' to each side of the equation.
6 + -6 + 18x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 18x = 24 + -6
18x = 24 + -6

Combine like terms: 24 + -6 = 18
18x = 18

Divide each side by '18'.
x = 1

Simplifying
x = 1