.3(2z+5)=.7(z-3)+2.6

Simple and best practice solution for .3(2z+5)=.7(z-3)+2.6 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)=.7(z-3)+2.6 equation: 


Simplifying
0.3(2z + 5) = 0.7(z + -3) + 2.6

Reorder the terms:
0.3(5 + 2z) = 0.7(z + -3) + 2.6
(5 * 0.3 + 2z * 0.3) = 0.7(z + -3) + 2.6
(1.5 + 0.6z) = 0.7(z + -3) + 2.6

Reorder the terms:
1.5 + 0.6z = 0.7(-3 + z) + 2.6
1.5 + 0.6z = (-3 * 0.7 + z * 0.7) + 2.6
1.5 + 0.6z = (-2.1 + 0.7z) + 2.6

Reorder the terms:
1.5 + 0.6z = -2.1 + 2.6 + 0.7z

Combine like terms: -2.1 + 2.6 = 0.5
1.5 + 0.6z = 0.5 + 0.7z

Solving
1.5 + 0.6z = 0.5 + 0.7z

Solving for variable 'z'.

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

Add '-0.7z' to each side of the equation.
1.5 + 0.6z + -0.7z = 0.5 + 0.7z + -0.7z

Combine like terms: 0.6z + -0.7z = -0.1z
1.5 + -0.1z = 0.5 + 0.7z + -0.7z

Combine like terms: 0.7z + -0.7z = 0.0
1.5 + -0.1z = 0.5 + 0.0
1.5 + -0.1z = 0.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.1z = 0.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.1z = 0.5 + -1.5
-0.1z = 0.5 + -1.5

Combine like terms: 0.5 + -1.5 = -1
-0.1z = -1

Divide each side by '-0.1'.
z = 10

Simplifying
z = 10

See similar equations:

| 2+6x=4x+8 | | 8x+12y+1=30 | | 7[2-(4+2x)]-2x=-16+2(1-8x) | | 4-x=4x+29 | | 3x-1=4x+8-x | | H(X)=2X | | 20x-1(3-5x)=22 | | (12x^3y^2)-(3xy^4)=0 | | 6+10=4w | | 3.625-1.5y= | | 5x-5=31-x | | 4=10+6c | | 4a-(a-2)=7-2(3a-4) | | 6x-5=5x+2 | | 4+13t-1=9t+14-7t | | 12x+501y=1 | | x^2+3x+108=0 | | 8x+12y=29 | | 7ln(x)=1 | | 8k-2z=24 | | -[2z-(7z+10)]=10+(4z+3) | | 1x-5=2x-1 | | 9+15=10z-7 | | 8c+1=7c-14-3c | | 9+15=10z-22 | | -5x-4y=20 | | m=384-76d | | 6j^2-4j=0 | | 3(4x-6)+25(x+2)=x-4 | | 4(x+1)=4(x+6) | | -6k^2+3k+2=0 | | 5(x-1)=10x-15 |

Equations solver categories