3(2z+7)+2(z+4)=5(z-6)+9z+5

Simple and best practice solution for 3(2z+7)+2(z+4)=5(z-6)+9z+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 3(2z+7)+2(z+4)=5(z-6)+9z+5 equation: 


Simplifying
3(2z + 7) + 2(z + 4) = 5(z + -6) + 9z + 5

Reorder the terms:
3(7 + 2z) + 2(z + 4) = 5(z + -6) + 9z + 5
(7 * 3 + 2z * 3) + 2(z + 4) = 5(z + -6) + 9z + 5
(21 + 6z) + 2(z + 4) = 5(z + -6) + 9z + 5

Reorder the terms:
21 + 6z + 2(4 + z) = 5(z + -6) + 9z + 5
21 + 6z + (4 * 2 + z * 2) = 5(z + -6) + 9z + 5
21 + 6z + (8 + 2z) = 5(z + -6) + 9z + 5

Reorder the terms:
21 + 8 + 6z + 2z = 5(z + -6) + 9z + 5

Combine like terms: 21 + 8 = 29
29 + 6z + 2z = 5(z + -6) + 9z + 5

Combine like terms: 6z + 2z = 8z
29 + 8z = 5(z + -6) + 9z + 5

Reorder the terms:
29 + 8z = 5(-6 + z) + 9z + 5
29 + 8z = (-6 * 5 + z * 5) + 9z + 5
29 + 8z = (-30 + 5z) + 9z + 5

Reorder the terms:
29 + 8z = -30 + 5 + 5z + 9z

Combine like terms: -30 + 5 = -25
29 + 8z = -25 + 5z + 9z

Combine like terms: 5z + 9z = 14z
29 + 8z = -25 + 14z

Solving
29 + 8z = -25 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
29 + 8z + -14z = -25 + 14z + -14z

Combine like terms: 8z + -14z = -6z
29 + -6z = -25 + 14z + -14z

Combine like terms: 14z + -14z = 0
29 + -6z = -25 + 0
29 + -6z = -25

Add '-29' to each side of the equation.
29 + -29 + -6z = -25 + -29

Combine like terms: 29 + -29 = 0
0 + -6z = -25 + -29
-6z = -25 + -29

Combine like terms: -25 + -29 = -54
-6z = -54

Divide each side by '-6'.
z = 9

Simplifying
z = 9

See similar equations:

| 1.1=0.04x-79.02 | | y^2-1y-1y+1=81 | | 5-3(d+2)=2(d+1)-2d | | 3m^2-2m-2=0 | | (2x-87)(x+5)=0 | | 2(x+7)-3(x+4)=3(x+5)-5 | | 19-8k=3 | | 2x+0.5x=-5+10 | | 8+6f-3=11 | | R^3-3r^2-10r=0 | | 7=5+4y | | (13b-2)-4(3b+1)=-5 | | 9d-41=22 | | 8-8(k+4)=-8(k-6)+8k | | 8x^2-12x+17=0 | | r-49=-43 | | 4(x+4)-6= | | R^3-3r^2-5p=0 | | 2u+4=6 | | 2(3x^2-4x+5)-(7x^2-3x+1)+(x^2-9)= | | 3(x-4)= | | 100=19+9y | | 2(3x^2-x+5)-(7x^2-3x+1-9)+(x^2-9)= | | 5.1*5.1= | | 8x^2+17=12x | | 4x+6x+4+9=3x+5+6x | | 19=4b-13 | | 9y^2-14y=10y-16 | | -(n-3)=1+2(n-2) | | 50=2+8w | | 48=-8 | | 0.7x+0.2=0.9x-0.4 |

Equations solver categories