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

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

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

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

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

Solving
10 + 2x = 6 + 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 = 6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = 6 + 0
10 + -1x = 6

Add '-10' to each side of the equation.
10 + -10 + -1x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 6 + -10
-1x = 6 + -10

Combine like terms: 6 + -10 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4