3(0.7z+2.8)=7(1.5z+7.2)

Simple and best practice solution for 3(0.7z+2.8)=7(1.5z+7.2) 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(0.7z+2.8)=7(1.5z+7.2) equation: 


Simplifying
3(0.7z + 2.8) = 7(1.5z + 7.2)

Reorder the terms:
3(2.8 + 0.7z) = 7(1.5z + 7.2)
(2.8 * 3 + 0.7z * 3) = 7(1.5z + 7.2)
(8.4 + 2.1z) = 7(1.5z + 7.2)

Reorder the terms:
8.4 + 2.1z = 7(7.2 + 1.5z)
8.4 + 2.1z = (7.2 * 7 + 1.5z * 7)
8.4 + 2.1z = (50.4 + 10.5z)

Solving
8.4 + 2.1z = 50.4 + 10.5z

Solving for variable 'z'.

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

Add '-10.5z' to each side of the equation.
8.4 + 2.1z + -10.5z = 50.4 + 10.5z + -10.5z

Combine like terms: 2.1z + -10.5z = -8.4z
8.4 + -8.4z = 50.4 + 10.5z + -10.5z

Combine like terms: 10.5z + -10.5z = 0.0
8.4 + -8.4z = 50.4 + 0.0
8.4 + -8.4z = 50.4

Add '-8.4' to each side of the equation.
8.4 + -8.4 + -8.4z = 50.4 + -8.4

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + -8.4z = 50.4 + -8.4
-8.4z = 50.4 + -8.4

Combine like terms: 50.4 + -8.4 = 42
-8.4z = 42

Divide each side by '-8.4'.
z = -5

Simplifying
z = -5

See similar equations:

| x^2+2x^2=576 | | 6=4y+3 | | 5-1.6x=7.4 | | -2y-10=-2 | | 51x-y=41 | | X/51=3/17 | | 2b+5b-2=12 | | -1-3x+10x-6-1= | | P-3(p-4)=2+2(p+5) | | 52-x^2+10x=0 | | X-1/3y=6 | | 2x+6=7y+7 | | 16+x*2=-56 | | -4x-19+1+10x-x= | | 22-8x=-42 | | 22-8x=42 | | 4.3(v+2.5)=8.11+4v | | x+3(x-1)=32-3x | | 2(-2+-1y)=9 | | .18+.73x=.77 | | 15x^2+4-3=0 | | 530.2(60)+0.05X=0.1(60+x) | | .18+.4x=.77 | | 28-4x-3+3x= | | -11x-4-4-x= | | X^2+6x^9=4 | | 12(3x+3)-6(2x-4)=4x-40 | | 15x-7+8-6x= | | 6(2x-3y+4)= | | T-12.6=5.4 | | 20-5n+3n=6-8n-10 | | -23-x-x+16-2= |

Equations solver categories