5(6z-1)-2(z+5)=17(z+1)

Simple and best practice solution for 5(6z-1)-2(z+5)=17(z+1) 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(6z-1)-2(z+5)=17(z+1) equation:


Simplifying
5(6z + -1) + -2(z + 5) = 17(z + 1)

Reorder the terms:
5(-1 + 6z) + -2(z + 5) = 17(z + 1)
(-1 * 5 + 6z * 5) + -2(z + 5) = 17(z + 1)
(-5 + 30z) + -2(z + 5) = 17(z + 1)

Reorder the terms:
-5 + 30z + -2(5 + z) = 17(z + 1)
-5 + 30z + (5 * -2 + z * -2) = 17(z + 1)
-5 + 30z + (-10 + -2z) = 17(z + 1)

Reorder the terms:
-5 + -10 + 30z + -2z = 17(z + 1)

Combine like terms: -5 + -10 = -15
-15 + 30z + -2z = 17(z + 1)

Combine like terms: 30z + -2z = 28z
-15 + 28z = 17(z + 1)

Reorder the terms:
-15 + 28z = 17(1 + z)
-15 + 28z = (1 * 17 + z * 17)
-15 + 28z = (17 + 17z)

Solving
-15 + 28z = 17 + 17z

Solving for variable 'z'.

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

Add '-17z' to each side of the equation.
-15 + 28z + -17z = 17 + 17z + -17z

Combine like terms: 28z + -17z = 11z
-15 + 11z = 17 + 17z + -17z

Combine like terms: 17z + -17z = 0
-15 + 11z = 17 + 0
-15 + 11z = 17

Add '15' to each side of the equation.
-15 + 15 + 11z = 17 + 15

Combine like terms: -15 + 15 = 0
0 + 11z = 17 + 15
11z = 17 + 15

Combine like terms: 17 + 15 = 32
11z = 32

Divide each side by '11'.
z = 2.909090909

Simplifying
z = 2.909090909

See similar equations:

| 3(15+x)=30 | | 5x^2-16x=0 | | 5(2z-1)-4(z+3)=3(z+1) | | 7(x-15)=28 | | 3(x+20)=190 | | 2a^2= | | 12a^3= | | 30a^2b= | | 20a^2b= | | .6x+4=.2x+5 | | -2(t-6)-(t+6)=2 | | (y-2)(y-1)= | | 3-8(2x-5)=9x-5(x+4) | | -5(7q-7)= | | x+3+5x=39 | | 2y+5= | | 5x+1=7-x | | y^2+6= | | 100-6(x+15)=46 | | -8c=72 | | 4+2y=2y-6+y | | x^2-2x-12x-47=0 | | (X-7)(X-3)=0 | | 4x=44 | | X(X-2)-3(X-2)=0 | | -3(6x+8)+6(2x+2)=34 | | 22-13x=5 | | X^2-2X-3X+6=0 | | 8y+21= | | p(p-1)=20 | | 2y+6= | | y+2= |

Equations solver categories