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

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

Simplifying
3(2 + -3x) = 7x + -2(x + -3)
(2 * 3 + -3x * 3) = 7x + -2(x + -3)
(6 + -9x) = 7x + -2(x + -3)

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

Reorder the terms:
6 + -9x = 6 + 7x + -2x

Combine like terms: 7x + -2x = 5x
6 + -9x = 6 + 5x

Add '-6' to each side of the equation.
6 + -6 + -9x = 6 + -6 + 5x

Combine like terms: 6 + -6 = 0
0 + -9x = 6 + -6 + 5x
-9x = 6 + -6 + 5x

Combine like terms: 6 + -6 = 0
-9x = 0 + 5x
-9x = 5x

Solving
-9x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-9x + -5x = 5x + -5x

Combine like terms: -9x + -5x = -14x
-14x = 5x + -5x

Combine like terms: 5x + -5x = 0
-14x = 0

Divide each side by '-14'.
x = 0

Simplifying
x = 0