3(x+2)=-9(x-7)

Solution for 3(x+2)=-9(x-7) equation:

Simplifying
3(x + 2) = -9(x + -7)

Reorder the terms:
3(2 + x) = -9(x + -7)
(2 * 3 + x * 3) = -9(x + -7)
(6 + 3x) = -9(x + -7)

Reorder the terms:
6 + 3x = -9(-7 + x)
6 + 3x = (-7 * -9 + x * -9)
6 + 3x = (63 + -9x)

Solving
6 + 3x = 63 + -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 = 63 + -9x + 9x

Combine like terms: 3x + 9x = 12x
6 + 12x = 63 + -9x + 9x

Combine like terms: -9x + 9x = 0
6 + 12x = 63 + 0
6 + 12x = 63

Add '-6' to each side of the equation.
6 + -6 + 12x = 63 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = 63 + -6
12x = 63 + -6

Combine like terms: 63 + -6 = 57
12x = 57

Divide each side by '12'.
x = 4.75

Simplifying
x = 4.75