5x-3(x-2)=10

Solution for 5x-3(x-2)=10 equation:

Simplifying
5x + -3(x + -2) = 10

Reorder the terms:
5x + -3(-2 + x) = 10
5x + (-2 * -3 + x * -3) = 10
5x + (6 + -3x) = 10

Reorder the terms:
6 + 5x + -3x = 10

Combine like terms: 5x + -3x = 2x
6 + 2x = 10

Solving
6 + 2x = 10

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 + 2x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 10 + -6
2x = 10 + -6

Combine like terms: 10 + -6 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2