9(x+3)-2(x-4)=3(x-3)+3(x-3)

Solution for 9(x+3)-2(x-4)=3(x-3)+3(x-3) equation:

Simplifying
9(x + 3) + -2(x + -4) = 3(x + -3) + 3(x + -3)

Reorder the terms:
9(3 + x) + -2(x + -4) = 3(x + -3) + 3(x + -3)
(3 * 9 + x * 9) + -2(x + -4) = 3(x + -3) + 3(x + -3)
(27 + 9x) + -2(x + -4) = 3(x + -3) + 3(x + -3)

Reorder the terms:
27 + 9x + -2(-4 + x) = 3(x + -3) + 3(x + -3)
27 + 9x + (-4 * -2 + x * -2) = 3(x + -3) + 3(x + -3)
27 + 9x + (8 + -2x) = 3(x + -3) + 3(x + -3)

Reorder the terms:
27 + 8 + 9x + -2x = 3(x + -3) + 3(x + -3)

Combine like terms: 27 + 8 = 35
35 + 9x + -2x = 3(x + -3) + 3(x + -3)

Combine like terms: 9x + -2x = 7x
35 + 7x = 3(x + -3) + 3(x + -3)

Reorder the terms:
35 + 7x = 3(-3 + x) + 3(x + -3)
35 + 7x = (-3 * 3 + x * 3) + 3(x + -3)
35 + 7x = (-9 + 3x) + 3(x + -3)

Reorder the terms:
35 + 7x = -9 + 3x + 3(-3 + x)
35 + 7x = -9 + 3x + (-3 * 3 + x * 3)
35 + 7x = -9 + 3x + (-9 + 3x)

Reorder the terms:
35 + 7x = -9 + -9 + 3x + 3x

Combine like terms: -9 + -9 = -18
35 + 7x = -18 + 3x + 3x

Combine like terms: 3x + 3x = 6x
35 + 7x = -18 + 6x

Solving
35 + 7x = -18 + 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.
35 + 7x + -6x = -18 + 6x + -6x

Combine like terms: 7x + -6x = 1x
35 + 1x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
35 + 1x = -18 + 0
35 + 1x = -18

Add '-35' to each side of the equation.
35 + -35 + 1x = -18 + -35

Combine like terms: 35 + -35 = 0
0 + 1x = -18 + -35
1x = -18 + -35

Combine like terms: -18 + -35 = -53
1x = -53

Divide each side by '1'.
x = -53

Simplifying
x = -53