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

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

Simplifying
2(x + -3) = 5(10 + -1x)

Reorder the terms:
2(-3 + x) = 5(10 + -1x)
(-3 * 2 + x * 2) = 5(10 + -1x)
(-6 + 2x) = 5(10 + -1x)
-6 + 2x = (10 * 5 + -1x * 5)
-6 + 2x = (50 + -5x)

Solving
-6 + 2x = 50 + -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.
-6 + 2x + 5x = 50 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-6 + 7x = 50 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 7x = 50 + 0
-6 + 7x = 50

Add '6' to each side of the equation.
-6 + 6 + 7x = 50 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 50 + 6
7x = 50 + 6

Combine like terms: 50 + 6 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8