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

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

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

Reorder the terms:
9(3 + x) + -2(x + -3) = 3(x + -3) + 3(x + -2)
(3 * 9 + x * 9) + -2(x + -3) = 3(x + -3) + 3(x + -2)
(27 + 9x) + -2(x + -3) = 3(x + -3) + 3(x + -2)

Reorder the terms:
27 + 9x + -2(-3 + x) = 3(x + -3) + 3(x + -2)
27 + 9x + (-3 * -2 + x * -2) = 3(x + -3) + 3(x + -2)
27 + 9x + (6 + -2x) = 3(x + -3) + 3(x + -2)

Reorder the terms:
27 + 6 + 9x + -2x = 3(x + -3) + 3(x + -2)

Combine like terms: 27 + 6 = 33
33 + 9x + -2x = 3(x + -3) + 3(x + -2)

Combine like terms: 9x + -2x = 7x
33 + 7x = 3(x + -3) + 3(x + -2)

Reorder the terms:
33 + 7x = 3(-3 + x) + 3(x + -2)
33 + 7x = (-3 * 3 + x * 3) + 3(x + -2)
33 + 7x = (-9 + 3x) + 3(x + -2)

Reorder the terms:
33 + 7x = -9 + 3x + 3(-2 + x)
33 + 7x = -9 + 3x + (-2 * 3 + x * 3)
33 + 7x = -9 + 3x + (-6 + 3x)

Reorder the terms:
33 + 7x = -9 + -6 + 3x + 3x

Combine like terms: -9 + -6 = -15
33 + 7x = -15 + 3x + 3x

Combine like terms: 3x + 3x = 6x
33 + 7x = -15 + 6x

Solving
33 + 7x = -15 + 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.
33 + 7x + -6x = -15 + 6x + -6x

Combine like terms: 7x + -6x = 1x
33 + 1x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
33 + 1x = -15 + 0
33 + 1x = -15

Add '-33' to each side of the equation.
33 + -33 + 1x = -15 + -33

Combine like terms: 33 + -33 = 0
0 + 1x = -15 + -33
1x = -15 + -33

Combine like terms: -15 + -33 = -48
1x = -48

Divide each side by '1'.
x = -48

Simplifying
x = -48