16=3(6x+2)+4(x-3)

Solution for 16=3(6x+2)+4(x-3) equation:

Simplifying
16 = 3(6x + 2) + 4(x + -3)

Reorder the terms:
16 = 3(2 + 6x) + 4(x + -3)
16 = (2 * 3 + 6x * 3) + 4(x + -3)
16 = (6 + 18x) + 4(x + -3)

Reorder the terms:
16 = 6 + 18x + 4(-3 + x)
16 = 6 + 18x + (-3 * 4 + x * 4)
16 = 6 + 18x + (-12 + 4x)

Reorder the terms:
16 = 6 + -12 + 18x + 4x

Combine like terms: 6 + -12 = -6
16 = -6 + 18x + 4x

Combine like terms: 18x + 4x = 22x
16 = -6 + 22x

Solving
16 = -6 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
16 + -22x = -6 + 22x + -22x

Combine like terms: 22x + -22x = 0
16 + -22x = -6 + 0
16 + -22x = -6

Add '-16' to each side of the equation.
16 + -16 + -22x = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -22x = -6 + -16
-22x = -6 + -16

Combine like terms: -6 + -16 = -22
-22x = -22

Divide each side by '-22'.
x = 1

Simplifying
x = 1