2(z-24)=38-3(z-3)

Simple and best practice solution for 2(z-24)=38-3(z-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(z-24)=38-3(z-3) equation: 


Simplifying
2(z + -24) = 38 + -3(z + -3)

Reorder the terms:
2(-24 + z) = 38 + -3(z + -3)
(-24 * 2 + z * 2) = 38 + -3(z + -3)
(-48 + 2z) = 38 + -3(z + -3)

Reorder the terms:
-48 + 2z = 38 + -3(-3 + z)
-48 + 2z = 38 + (-3 * -3 + z * -3)
-48 + 2z = 38 + (9 + -3z)

Combine like terms: 38 + 9 = 47
-48 + 2z = 47 + -3z

Solving
-48 + 2z = 47 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
-48 + 2z + 3z = 47 + -3z + 3z

Combine like terms: 2z + 3z = 5z
-48 + 5z = 47 + -3z + 3z

Combine like terms: -3z + 3z = 0
-48 + 5z = 47 + 0
-48 + 5z = 47

Add '48' to each side of the equation.
-48 + 48 + 5z = 47 + 48

Combine like terms: -48 + 48 = 0
0 + 5z = 47 + 48
5z = 47 + 48

Combine like terms: 47 + 48 = 95
5z = 95

Divide each side by '5'.
z = 19

Simplifying
z = 19

See similar equations:

| 3x^2-21x+21x+147=294 | | 5(x+6)-16= | | 0.75(24-8b)=2(5b+1) | | 8y-5=10y+11 | | C=2c^2d | | 3x^2-147=294 | | x^2-10x-12075=0 | | 5=6(9-5)-19 | | 4=z/9-3 | | -7(3a-6)=0 | | 3x-5+x=2 | | 13p-(8p+7p)+12p= | | x(2x+6)=4 | | -17x-20=-14x+100 | | 12x-14=180 | | 11X-11=44 | | -4x=8(x-27) | | 2(p+4)= | | 3(-y+1)-y= | | -.5x^2+1.5x+2=4 | | 2(6t)=48 | | 4+6p= | | 5x+8y=-48 | | q+2-2(q-10)= | | 4x=2x-48 | | -15=3x-12 | | 3c-4c+2=5c+2+3 | | -x-9=4 | | 3c-3c+2=5c+2+3 | | -3x(7+8-4)= | | -10x-8y=-48 | | -10x-3= |

Equations solver categories