4(6z-1)-2(z+7)=15(z+1)

Simple and best practice solution for 4(6z-1)-2(z+7)=15(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 4(6z-1)-2(z+7)=15(z+1) equation:


Simplifying
4(6z + -1) + -2(z + 7) = 15(z + 1)

Reorder the terms:
4(-1 + 6z) + -2(z + 7) = 15(z + 1)
(-1 * 4 + 6z * 4) + -2(z + 7) = 15(z + 1)
(-4 + 24z) + -2(z + 7) = 15(z + 1)

Reorder the terms:
-4 + 24z + -2(7 + z) = 15(z + 1)
-4 + 24z + (7 * -2 + z * -2) = 15(z + 1)
-4 + 24z + (-14 + -2z) = 15(z + 1)

Reorder the terms:
-4 + -14 + 24z + -2z = 15(z + 1)

Combine like terms: -4 + -14 = -18
-18 + 24z + -2z = 15(z + 1)

Combine like terms: 24z + -2z = 22z
-18 + 22z = 15(z + 1)

Reorder the terms:
-18 + 22z = 15(1 + z)
-18 + 22z = (1 * 15 + z * 15)
-18 + 22z = (15 + 15z)

Solving
-18 + 22z = 15 + 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
-18 + 22z + -15z = 15 + 15z + -15z

Combine like terms: 22z + -15z = 7z
-18 + 7z = 15 + 15z + -15z

Combine like terms: 15z + -15z = 0
-18 + 7z = 15 + 0
-18 + 7z = 15

Add '18' to each side of the equation.
-18 + 18 + 7z = 15 + 18

Combine like terms: -18 + 18 = 0
0 + 7z = 15 + 18
7z = 15 + 18

Combine like terms: 15 + 18 = 33
7z = 33

Divide each side by '7'.
z = 4.714285714

Simplifying
z = 4.714285714

See similar equations:

| y^2-(3+2i)y+(4-i)=0 | | 1600-b^2=a^2 | | 5+7(x-6)=1-4(x-7) | | 2(3x-2)-3(X-4)=2(X-3) | | 14-(3m+8)=3+2m-17 | | 13x+5=x+53 | | 27x-15=18x+21 | | 5t+2t+13=250 | | 34=4x+5 | | -5-8x=-9x-7 | | 16x+14=5x+47 | | 10s+2s-100=56 | | y=0.5x+19 | | 3x+4x+36=43 | | 3(2-X)+5x=2x+6 | | 12x-9=5x+12 | | 150+2L=195-IL | | 3(y-5)=13 | | 5+5y=7 | | 5y+2=6y+-3 | | 7ab+8a-9b=31 | | 0.4x=32 | | 5y+1=6y+-3 | | 1a+2b-3c=71 | | 9t^2+4=13t | | 6(w-1)=8w+7-2(-5w-1) | | 3x-(5x+4)=8 | | 23=X+(x+3)+(x+6) | | 8x-11=5(2+x) | | 540=75(t) | | 7v-(7-2v)=12 | | 0=3x^2-7x-11 |

Equations solver categories