3(x+4)=5(x-5)

Simple and best practice solution for 3(x+4)=5(x-5) 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+4)=5(x-5) equation:


Simplifying
3(x + 4) = 5(x + -5)

Reorder the terms:
3(4 + x) = 5(x + -5)
(4 * 3 + x * 3) = 5(x + -5)
(12 + 3x) = 5(x + -5)

Reorder the terms:
12 + 3x = 5(-5 + x)
12 + 3x = (-5 * 5 + x * 5)
12 + 3x = (-25 + 5x)

Solving
12 + 3x = -25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 3x + -5x = -25 + 5x + -5x

Combine like terms: 3x + -5x = -2x
12 + -2x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -2x = -25 + 0
12 + -2x = -25

Add '-12' to each side of the equation.
12 + -12 + -2x = -25 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -25 + -12
-2x = -25 + -12

Combine like terms: -25 + -12 = -37
-2x = -37

Divide each side by '-2'.
x = 18.5

Simplifying
x = 18.5

See similar equations:

| 1A+5B=X | | x^2+35x+16=0 | | x^2+25x+16=0 | | x^2+14x+16=0 | | 3x^2y^2+9xy= | | x^2+16x+16=0 | | x^2+15x+16=0 | | 5*a=21 | | x^2+20x+16=0 | | 4*a=52 | | f(x)=x^3-4x^2-7 | | 9x-8+8=3x+19+8 | | 11a=7 | | 4x^2+7x+j=0 | | 6x+22=1x-59 | | 108/x=8 | | 75/x=15 | | 75-x=15 | | 108-x=8 | | 18+x=108 | | 15a-10=5a-40 | | 14x^2+15x=11 | | 4*a*5=6 | | 5a-3a=24 | | 3(2x-4)=x | | 54x+6=8x-6 | | x+14=4x+10 | | 5x+(2x+4)+(x-3)=28+(3x-2)-10 | | 3(2z+5)+5=28 | | z-5z+10=13 | | 5+x=75 | | 2x+7x+5=41 |

Equations solver categories