3(x-2)=-9(x+1)+43

Solution for 3(x-2)=-9(x+1)+43 equation:

Simplifying
3(x + -2) = -9(x + 1) + 43

Reorder the terms:
3(-2 + x) = -9(x + 1) + 43
(-2 * 3 + x * 3) = -9(x + 1) + 43
(-6 + 3x) = -9(x + 1) + 43

Reorder the terms:
-6 + 3x = -9(1 + x) + 43
-6 + 3x = (1 * -9 + x * -9) + 43
-6 + 3x = (-9 + -9x) + 43

Reorder the terms:
-6 + 3x = -9 + 43 + -9x

Combine like terms: -9 + 43 = 34
-6 + 3x = 34 + -9x

Solving
-6 + 3x = 34 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-6 + 3x + 9x = 34 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-6 + 12x = 34 + -9x + 9x

Combine like terms: -9x + 9x = 0
-6 + 12x = 34 + 0
-6 + 12x = 34

Add '6' to each side of the equation.
-6 + 6 + 12x = 34 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 34 + 6
12x = 34 + 6

Combine like terms: 34 + 6 = 40
12x = 40

Divide each side by '12'.
x = 3.333333333

Simplifying
x = 3.333333333