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

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

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

Reorder the terms:
3(-2 + 3x) = x + -2(3 + -4x)
(-2 * 3 + 3x * 3) = x + -2(3 + -4x)
(-6 + 9x) = x + -2(3 + -4x)
-6 + 9x = x + (3 * -2 + -4x * -2)
-6 + 9x = x + (-6 + 8x)

Reorder the terms:
-6 + 9x = -6 + x + 8x

Combine like terms: x + 8x = 9x
-6 + 9x = -6 + 9x

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.