3(2z-5)=2z+13

Simple and best practice solution for 3(2z-5)=2z+13 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(2z-5)=2z+13 equation:


Simplifying
3(2z + -5) = 2z + 13

Reorder the terms:
3(-5 + 2z) = 2z + 13
(-5 * 3 + 2z * 3) = 2z + 13
(-15 + 6z) = 2z + 13

Reorder the terms:
-15 + 6z = 13 + 2z

Solving
-15 + 6z = 13 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-15 + 6z + -2z = 13 + 2z + -2z

Combine like terms: 6z + -2z = 4z
-15 + 4z = 13 + 2z + -2z

Combine like terms: 2z + -2z = 0
-15 + 4z = 13 + 0
-15 + 4z = 13

Add '15' to each side of the equation.
-15 + 15 + 4z = 13 + 15

Combine like terms: -15 + 15 = 0
0 + 4z = 13 + 15
4z = 13 + 15

Combine like terms: 13 + 15 = 28
4z = 28

Divide each side by '4'.
z = 7

Simplifying
z = 7

See similar equations:

| ab-d=c | | 1-3x=2x+8 | | 10+-16a=12 | | 3-2x=3x+8 | | 2x+7x=0 | | 18y-18=16y | | 3x+6=2y | | -6n=30 | | -6x-5=7 | | 104=13h | | 42=6m | | -1x-1=1x-21 | | 4p=32 | | 8q=56 | | -8p+3=-29 | | 7=-3c-2 | | 9x+3=7x-18 | | 6n+4=-26 | | 2x-9=-23 | | 6x+2=26 | | 3x-6=7x-8 | | 10x-2x=18 | | 6n+5n=4.5 | | 5x-14=4x-7 | | 6n+5ifn=4.5 | | 8-8y=3y-2 | | 6n+5withn=4.5 | | 3b+7=-2b-18 | | X-2(10+x)=12 | | 9x-8=6x+7 | | 7x-3=5x+7 | | 2+3(2-x)=14 |

Equations solver categories