3(2-x)=4(x-9)

Solution for 3(2-x)=4(x-9) equation:

Simplifying
3(2 + -1x) = 4(x + -9)
(2 * 3 + -1x * 3) = 4(x + -9)
(6 + -3x) = 4(x + -9)

Reorder the terms:
6 + -3x = 4(-9 + x)
6 + -3x = (-9 * 4 + x * 4)
6 + -3x = (-36 + 4x)

Solving
6 + -3x = -36 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + -3x + -4x = -36 + 4x + -4x

Combine like terms: -3x + -4x = -7x
6 + -7x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -7x = -36 + 0
6 + -7x = -36

Add '-6' to each side of the equation.
6 + -6 + -7x = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -36 + -6
-7x = -36 + -6

Combine like terms: -36 + -6 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6