3(5X+2)=4(4X-1)

Solution for 3(5X+2)=4(4X-1) equation:

Simplifying
3(5X + 2) = 4(4X + -1)

Reorder the terms:
3(2 + 5X) = 4(4X + -1)
(2 * 3 + 5X * 3) = 4(4X + -1)
(6 + 15X) = 4(4X + -1)

Reorder the terms:
6 + 15X = 4(-1 + 4X)
6 + 15X = (-1 * 4 + 4X * 4)
6 + 15X = (-4 + 16X)

Solving
6 + 15X = -4 + 16X

Solving for variable 'X'.

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

Add '-16X' to each side of the equation.
6 + 15X + -16X = -4 + 16X + -16X

Combine like terms: 15X + -16X = -1X
6 + -1X = -4 + 16X + -16X

Combine like terms: 16X + -16X = 0
6 + -1X = -4 + 0
6 + -1X = -4

Add '-6' to each side of the equation.
6 + -6 + -1X = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -1X = -4 + -6
-1X = -4 + -6

Combine like terms: -4 + -6 = -10
-1X = -10

Divide each side by '-1'.
X = 10

Simplifying
X = 10