2(x+7)=3(x-8)

Simple and best practice solution for 2(x+7)=3(x-8) 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+7)=3(x-8) equation: 


Simplifying
2(x + 7) = 3(x + -8)

Reorder the terms:
2(7 + x) = 3(x + -8)
(7 * 2 + x * 2) = 3(x + -8)
(14 + 2x) = 3(x + -8)

Reorder the terms:
14 + 2x = 3(-8 + x)
14 + 2x = (-8 * 3 + x * 3)
14 + 2x = (-24 + 3x)

Solving
14 + 2x = -24 + 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.
14 + 2x + -3x = -24 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = -24 + 0
14 + -1x = -24

Add '-14' to each side of the equation.
14 + -14 + -1x = -24 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = -24 + -14
-1x = -24 + -14

Combine like terms: -24 + -14 = -38
-1x = -38

Divide each side by '-1'.
x = 38

Simplifying
x = 38

See similar equations:

| -2(y+3)=24 | | 31/2m=62/3 | | 3/5a-(-4)=5 | | 3/5+3i | | x^2*2=10 | | x=1.6+0.27 | | 3x^2=2-7x | | 15x+3y=18 | | 6x+5=5*x | | -1/2(x-4)+1/7(x+7)=x-4 | | 1/6+7/16= | | 3x-3-1=0 | | 6n+5=-3n+41 | | (x/10)+(5/12)=3x-1 | | 3t+15=1t-9 | | 5n-2=n-10 | | 2/3y-1/3y=6 | | x/10+5/12=3x-1 | | 5+2x-3=6x+16-2x | | 21y/24y | | 10/3x=20 | | 7/(2x-6) | | 41=-4/8+54 | | 6-y=27 | | (z-8z)=(5z-9)-z | | 30r-2-12r=-6r-26 | | 4x-9=5x+8 | | 2(3z+4)+5=21 | | 3y-5y=-22 | | 119-7x=29x+15 | | z-4z=5z-1-z | | -3(w-3)=2w-16 |

Equations solver categories