6-X=3(-13+5X)

Solution for 6-X=3(-13+5X) equation:

Simplifying
6 + -1X = 3(-13 + 5X)
6 + -1X = (-13 * 3 + 5X * 3)
6 + -1X = (-39 + 15X)

Solving
6 + -1X = -39 + 15X

Solving for variable 'X'.

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

Add '-15X' to each side of the equation.
6 + -1X + -15X = -39 + 15X + -15X

Combine like terms: -1X + -15X = -16X
6 + -16X = -39 + 15X + -15X

Combine like terms: 15X + -15X = 0
6 + -16X = -39 + 0
6 + -16X = -39

Add '-6' to each side of the equation.
6 + -6 + -16X = -39 + -6

Combine like terms: 6 + -6 = 0
0 + -16X = -39 + -6
-16X = -39 + -6

Combine like terms: -39 + -6 = -45
-16X = -45

Divide each side by '-16'.
X = 2.8125

Simplifying
X = 2.8125