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

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


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

Reorder the terms:
2(-8 + x) = 3(x + 3)
(-8 * 2 + x * 2) = 3(x + 3)
(-16 + 2x) = 3(x + 3)

Reorder the terms:
-16 + 2x = 3(3 + x)
-16 + 2x = (3 * 3 + x * 3)
-16 + 2x = (9 + 3x)

Solving
-16 + 2x = 9 + 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.
-16 + 2x + -3x = 9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-16 + -1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + -1x = 9 + 0
-16 + -1x = 9

Add '16' to each side of the equation.
-16 + 16 + -1x = 9 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 9 + 16
-1x = 9 + 16

Combine like terms: 9 + 16 = 25
-1x = 25

Divide each side by '-1'.
x = -25

Simplifying
x = -25

See similar equations:

| 4y^2-13y=-10 | | v^2+8v-20=0 | | 77=m+32 | | 3x+2y+1z= | | 3x-6=2x+18 | | 4y^2+5y-3=0 | | 6x^2+10x^2+5x=0 | | -3x=-5 | | x^2-21x-46=0 | | -x^2+21x+46=0 | | 0.6x-0.1=0.5x+0.2 | | 5m+6n=59 | | 2(x-9)=3(x+3) | | x-19=2(x-7) | | 0.18(y-7)+0.14y=0.20y-0.07(30) | | 4x+14=62 | | 8x-6=40x+18 | | 5(2x+9)=-48+3 | | 11x+9=64 | | 4.7y=11.28 | | -2(m-9)+3(8m+8)=21(m+1)+3 | | (5n+6)(5n-5)= | | 138-3x=42x-23 | | 5z-2=2z-5 | | 7(x-3)=-6x | | 3x-10=11x-50 | | -81+5y=-6y+102 | | 7x-3=39 | | 5(x-12)=27 | | 5x+14=-103-8x | | 47+x*x=96 | | (3m-1)(8m+7)= |

Equations solver categories