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

Simple and best practice solution for 3(x+5)=2(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 3(x+5)=2(x-3) equation:


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

Reorder the terms:
3(5 + x) = 2(x + -3)
(5 * 3 + x * 3) = 2(x + -3)
(15 + 3x) = 2(x + -3)

Reorder the terms:
15 + 3x = 2(-3 + x)
15 + 3x = (-3 * 2 + x * 2)
15 + 3x = (-6 + 2x)

Solving
15 + 3x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + 3x + -2x = -6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
15 + 1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 1x = -6 + 0
15 + 1x = -6

Add '-15' to each side of the equation.
15 + -15 + 1x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -6 + -15
1x = -6 + -15

Combine like terms: -6 + -15 = -21
1x = -21

Divide each side by '1'.
x = -21

Simplifying
x = -21

See similar equations:

| E=o-[ex*(x+fra)]-fact | | 0.04-0.6b=0.26 | | 2z-1=360 | | -2x+15=43-6x | | E=4x+5x+(5x-10) | | 3x+15=2x-6 | | 5b^2-4b-11=2b-2 | | sin(3x+20)=cos(4x-10) | | 4n-2=98 | | 5m^2+9m=18 | | -6x-15=-3(x+4) | | E=x+x+(x-10) | | 6x^2+9y^2-24x-54y+51=0 | | 4*y+2*x=120 | | 4d^2-12d=9 | | 7(w+5)=2w-5 | | 12z-(3z+1)-(2z-35)=z+58 | | 2j+13=40 | | 4d^2-12=9 | | 4r^2=4 | | 5n+40= | | 3(x-4)=88 | | -3-x=3-2x | | 9u-7=5(u-3) | | 4z=13-37 | | -9(x-4)=44 | | 3xsquared+20x+36=4 | | 4d^2-12d+9= | | 6x^2=2-6x | | (-2x+3)(3x-3)=0 | | 56=75 | | 0=3x-33 |

Equations solver categories