2(x+5)=3(x)

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

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

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

Solving
10 + 2x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 2x + -3x = 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = 0

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10