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 = 69
12x = 69

Divide each side by '12'.
x = 5.75

Simplifying
x = 5.75