2(x-3)=-6(x-9)

Solution for 2(x-3)=-6(x-9) equation:

Simplifying
2(x + -3) = -6(x + -9)

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

Reorder the terms:
-6 + 2x = -6(-9 + x)
-6 + 2x = (-9 * -6 + x * -6)
-6 + 2x = (54 + -6x)

Solving
-6 + 2x = 54 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-6 + 2x + 6x = 54 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-6 + 8x = 54 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 8x = 54 + 0
-6 + 8x = 54

Add '6' to each side of the equation.
-6 + 6 + 8x = 54 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 54 + 6
8x = 54 + 6

Combine like terms: 54 + 6 = 60
8x = 60

Divide each side by '8'.
x = 7.5

Simplifying
x = 7.5