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

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

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

Reorder the terms:
3(2 + x) = 4(x + -9)
(2 * 3 + x * 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 = -1x
6 + -1x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = -36 + 0
6 + -1x = -36

Add '-6' to each side of the equation.
6 + -6 + -1x = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -36 + -6
-1x = -36 + -6

Combine like terms: -36 + -6 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42