.5(3z+6)+12.2=.7(3z-4)

Simple and best practice solution for .5(3z+6)+12.2=.7(3z-4) 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 .5(3z+6)+12.2=.7(3z-4) equation: 


Simplifying
0.5(3z + 6) + 12.2 = 0.7(3z + -4)

Reorder the terms:
0.5(6 + 3z) + 12.2 = 0.7(3z + -4)
(6 * 0.5 + 3z * 0.5) + 12.2 = 0.7(3z + -4)
(3 + 1.5z) + 12.2 = 0.7(3z + -4)

Reorder the terms:
3 + 12.2 + 1.5z = 0.7(3z + -4)

Combine like terms: 3 + 12.2 = 15.2
15.2 + 1.5z = 0.7(3z + -4)

Reorder the terms:
15.2 + 1.5z = 0.7(-4 + 3z)
15.2 + 1.5z = (-4 * 0.7 + 3z * 0.7)
15.2 + 1.5z = (-2.8 + 2.1z)

Solving
15.2 + 1.5z = -2.8 + 2.1z

Solving for variable 'z'.

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

Add '-2.1z' to each side of the equation.
15.2 + 1.5z + -2.1z = -2.8 + 2.1z + -2.1z

Combine like terms: 1.5z + -2.1z = -0.6z
15.2 + -0.6z = -2.8 + 2.1z + -2.1z

Combine like terms: 2.1z + -2.1z = 0.0
15.2 + -0.6z = -2.8 + 0.0
15.2 + -0.6z = -2.8

Add '-15.2' to each side of the equation.
15.2 + -15.2 + -0.6z = -2.8 + -15.2

Combine like terms: 15.2 + -15.2 = 0.0
0.0 + -0.6z = -2.8 + -15.2
-0.6z = -2.8 + -15.2

Combine like terms: -2.8 + -15.2 = -18
-0.6z = -18

Divide each side by '-0.6'.
z = 30

Simplifying
z = 30

See similar equations:

| -6m+20=2(1+6m) | | 5(16)-8= | | 5(28)-8= | | 2x-2-24=3x-3 | | 5(132)-8= | | Y=2+2.25x | | 5x^2=2-3x | | 5(x+7)-7(4x-9)=15 | | 18 + 6 x y - 25 + 2 = | | 8n-8-6n-12=2n+4n | | 11x-189=3x+483 | | 65=x+77 | | 32.21-4.68= | | b^2+5b+4= | | 432=(4500)(x)(2) | | CX+b=7(x-c) | | 8(x+9)-4(4x-2)=15 | | 3(16)= | | 12p-9=14p-30 | | 3=1/2b=11 | | X/75=0 | | 5+2x=-2-3x | | -3n+5= | | H+2=-15 | | -14+4b-1+8b=6-b+5 | | 3x+2y+57=180 | | N-1/5=7/10 | | 5w-16=-3(w+4) | | 2x-4/5=30 | | 3y+9+4y-11=180 | | 26=28-6(-1-2w) | | v/2-6=-12 |

Equations solver categories