-0.1(z-16)=0.2(z+0.5)

Simple and best practice solution for -0.1(z-16)=0.2(z+0.5) 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 -0.1(z-16)=0.2(z+0.5) equation:


Simplifying
-0.1(z + -16) = 0.2(z + 0.5)

Reorder the terms:
-0.1(-16 + z) = 0.2(z + 0.5)
(-16 * -0.1 + z * -0.1) = 0.2(z + 0.5)
(1.6 + -0.1z) = 0.2(z + 0.5)

Reorder the terms:
1.6 + -0.1z = 0.2(0.5 + z)
1.6 + -0.1z = (0.5 * 0.2 + z * 0.2)
1.6 + -0.1z = (0.1 + 0.2z)

Solving
1.6 + -0.1z = 0.1 + 0.2z

Solving for variable 'z'.

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

Add '-0.2z' to each side of the equation.
1.6 + -0.1z + -0.2z = 0.1 + 0.2z + -0.2z

Combine like terms: -0.1z + -0.2z = -0.3z
1.6 + -0.3z = 0.1 + 0.2z + -0.2z

Combine like terms: 0.2z + -0.2z = 0.0
1.6 + -0.3z = 0.1 + 0.0
1.6 + -0.3z = 0.1

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -0.3z = 0.1 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.3z = 0.1 + -1.6
-0.3z = 0.1 + -1.6

Combine like terms: 0.1 + -1.6 = -1.5
-0.3z = -1.5

Divide each side by '-0.3'.
z = 5

Simplifying
z = 5

See similar equations:

| x^2/5=w+y | | 7b+2+6(b+1)= | | 4/7x-3=13 | | x/2.5=50 | | n+3-5= | | f(x)=-x^2+4x+3 | | -27d+18=72 | | 18-1/20(3x)=12-1/20(2x) | | 3(-4-5y)=-4 | | n^2-4n-256=0 | | 15x+9=27 | | -x+18=8x | | 4x-4=x+5 | | 4x+8=16-1x | | 4y+12=7y+3 | | 3+4x=7+5x-1 | | 5.2*3= | | 2y-20=y+5 | | X^3+17x^2+30x=0 | | 4x^2+44=48x | | 2x+10=7x-20 | | 8x+112=4x-4 | | 4a^2b^2-9c^2= | | p-48=-33 | | -5+6(-3z-2)=-2(6z-9)+2 | | 37=m-14 | | -9(x+2)+25=-9-19 | | 5*3ABC= | | 4/5t-2=6 | | 10x^2+40x-120=0 | | 10x=3x+4 | | -2x-4=-8x+8 |

Equations solver categories