2(x-3)=5(x)

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

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

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

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

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

Combine like terms: 5x + -5x = 0
-6 + -3x = 0

Add '6' to each side of the equation.
-6 + 6 + -3x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 0 + 6
-3x = 0 + 6

Combine like terms: 0 + 6 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2