3(x-4)=5(x+6)

Simple and best practice solution for 3(x-4)=5(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 3(x-4)=5(x+6) equation:


Simplifying
3(x + -4) = 5(x + 6)

Reorder the terms:
3(-4 + x) = 5(x + 6)
(-4 * 3 + x * 3) = 5(x + 6)
(-12 + 3x) = 5(x + 6)

Reorder the terms:
-12 + 3x = 5(6 + x)
-12 + 3x = (6 * 5 + x * 5)
-12 + 3x = (30 + 5x)

Solving
-12 + 3x = 30 + 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 = 30 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-12 + -2x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -2x = 30 + 0
-12 + -2x = 30

Add '12' to each side of the equation.
-12 + 12 + -2x = 30 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = 30 + 12
-2x = 30 + 12

Combine like terms: 30 + 12 = 42
-2x = 42

Divide each side by '-2'.
x = -21

Simplifying
x = -21

See similar equations:

| 8(2x-4)=6x+12 | | 25a-7=118 | | 9x+(5x-1)=2 | | 9x-14=6x+22 | | (w+1)/(w+5)=(w-5)/(w+7)+1 | | 148+112+90+2x(2x+10)=540 | | x+3=-x+1 | | x+30/100x=130 | | a(n)=43+(n-1)(7) | | 2x/5+x/2=9 | | x-9y=10 | | 5-3(x-1)=-x+2 | | 6x+110=10x-6 | | 1.5x=0.16x+2 | | 4x+10y=20 | | 254-3x=42x+24 | | 6p-5p=26 | | x^3-4x^2+1=0 | | -5x-5+6x=2 | | 8(3x+2)=60 | | -5x-5+5+x=-43 | | 12=-1/2c | | 2/x+3/5=22/(5x) | | 7(n+3)-6(n-4)=19 | | 3x-1=x-6 | | 17.5/17.5+x=0.07 | | (5m^2+7m-6)=0 | | .000882= | | 4x+10=(2x+5) | | x+17.5/17.5=0.07 | | 6x+30y=-2 | | -10.8=-0.6 |

Equations solver categories