5x-3(2-3x)=7

Solution for 5x-3(2-3x)=7 equation:

Simplifying
5x + -3(2 + -3x) = 7
5x + (2 * -3 + -3x * -3) = 7
5x + (-6 + 9x) = 7

Reorder the terms:
-6 + 5x + 9x = 7

Combine like terms: 5x + 9x = 14x
-6 + 14x = 7

Solving
-6 + 14x = 7

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 14x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = 7 + 6
14x = 7 + 6

Combine like terms: 7 + 6 = 13
14x = 13

Divide each side by '14'.
x = 0.9285714286

Simplifying
x = 0.9285714286