1.5(14X+2)=3(2-3X)

Solution for 1.5(14X+2)=3(2-3X) equation:

Simplifying
1.5(14X + 2) = 3(2 + -3X)

Reorder the terms:
1.5(2 + 14X) = 3(2 + -3X)
(2 * 1.5 + 14X * 1.5) = 3(2 + -3X)
(3 + 21X) = 3(2 + -3X)
3 + 21X = (2 * 3 + -3X * 3)
3 + 21X = (6 + -9X)

Solving
3 + 21X = 6 + -9X

Solving for variable 'X'.

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

Add '9X' to each side of the equation.
3 + 21X + 9X = 6 + -9X + 9X

Combine like terms: 21X + 9X = 30X
3 + 30X = 6 + -9X + 9X

Combine like terms: -9X + 9X = 0
3 + 30X = 6 + 0
3 + 30X = 6

Add '-3' to each side of the equation.
3 + -3 + 30X = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 30X = 6 + -3
30X = 6 + -3

Combine like terms: 6 + -3 = 3
30X = 3

Divide each side by '30'.
X = 0.1

Simplifying
X = 0.1