3(x-4)=-9(x+3)+37

Solution for 3(x-4)=-9(x+3)+37 equation:

Simplifying
3(x + -4) = -9(x + 3) + 37

Reorder the terms:
3(-4 + x) = -9(x + 3) + 37
(-4 * 3 + x * 3) = -9(x + 3) + 37
(-12 + 3x) = -9(x + 3) + 37

Reorder the terms:
-12 + 3x = -9(3 + x) + 37
-12 + 3x = (3 * -9 + x * -9) + 37
-12 + 3x = (-27 + -9x) + 37

Reorder the terms:
-12 + 3x = -27 + 37 + -9x

Combine like terms: -27 + 37 = 10
-12 + 3x = 10 + -9x

Solving
-12 + 3x = 10 + -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.
-12 + 3x + 9x = 10 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-12 + 12x = 10 + -9x + 9x

Combine like terms: -9x + 9x = 0
-12 + 12x = 10 + 0
-12 + 12x = 10

Add '12' to each side of the equation.
-12 + 12 + 12x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = 10 + 12
12x = 10 + 12

Combine like terms: 10 + 12 = 22
12x = 22

Divide each side by '12'.
x = 1.833333333

Simplifying
x = 1.833333333