2(x+5)=3(x-6)

Simple and best practice solution for 2(x+5)=3(x-6) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2(x+5)=3(x-6) equation: 


Simplifying
2(x + 5) = 3(x + -6)

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

Reorder the terms:
10 + 2x = 3(-6 + x)
10 + 2x = (-6 * 3 + x * 3)
10 + 2x = (-18 + 3x)

Solving
10 + 2x = -18 + 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 = -18 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = -18 + 0
10 + -1x = -18

Add '-10' to each side of the equation.
10 + -10 + -1x = -18 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -18 + -10
-1x = -18 + -10

Combine like terms: -18 + -10 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

See similar equations:

| 5r+3-2r+3r= | | 6=x-12 | | 2+x+3=3x-4 | | 4x-2=3x+8 | | 2x+9=x+2 | | 10x-6=24 | | 1-6r=-4-3r | | x+x-12=84 | | 9x+1=28 | | 15=1+7x | | x+x-19=83 | | x+3x=648 | | x+3x=660 | | 1.5w+7=11 | | -2m-18=-18 | | 4-5y=-44 | | x+6x=252 | | 9y-15=57 | | -c+6+3c=-2c+6 | | x+3x=136 | | 8=6x-28 | | 2(5-x)=3x+6-x | | 25-3x=8 | | 4x=12-2x | | 6x=27-3x | | 2p-5=-4p-23 | | 3(x-3)=6 | | 3(x-3)= | | -4=-p+16 | | y=-x(-x)-3 | | 6x-40=x+15 | | 43=4x+7 |

Equations solver categories