2(4z-1)-3(z+7)=2(z+1)

Simple and best practice solution for 2(4z-1)-3(z+7)=2(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 2(4z-1)-3(z+7)=2(z+1) equation:


Simplifying
2(4z + -1) + -3(z + 7) = 2(z + 1)

Reorder the terms:
2(-1 + 4z) + -3(z + 7) = 2(z + 1)
(-1 * 2 + 4z * 2) + -3(z + 7) = 2(z + 1)
(-2 + 8z) + -3(z + 7) = 2(z + 1)

Reorder the terms:
-2 + 8z + -3(7 + z) = 2(z + 1)
-2 + 8z + (7 * -3 + z * -3) = 2(z + 1)
-2 + 8z + (-21 + -3z) = 2(z + 1)

Reorder the terms:
-2 + -21 + 8z + -3z = 2(z + 1)

Combine like terms: -2 + -21 = -23
-23 + 8z + -3z = 2(z + 1)

Combine like terms: 8z + -3z = 5z
-23 + 5z = 2(z + 1)

Reorder the terms:
-23 + 5z = 2(1 + z)
-23 + 5z = (1 * 2 + z * 2)
-23 + 5z = (2 + 2z)

Solving
-23 + 5z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-23 + 5z + -2z = 2 + 2z + -2z

Combine like terms: 5z + -2z = 3z
-23 + 3z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-23 + 3z = 2 + 0
-23 + 3z = 2

Add '23' to each side of the equation.
-23 + 23 + 3z = 2 + 23

Combine like terms: -23 + 23 = 0
0 + 3z = 2 + 23
3z = 2 + 23

Combine like terms: 2 + 23 = 25
3z = 25

Divide each side by '3'.
z = 8.333333333

Simplifying
z = 8.333333333

See similar equations:

| x(6x-5)=11 | | 26x-6-16x+3=25x-9-15x+11 | | x^3+8x^2+9x=-72 | | 10x^2+65x=35 | | x^3+8x^2+9x+72=0 | | 9x-10=-2x+100 | | 6x^6-36x^4= | | 2(12)-24=-48 | | 2y-3y-3=-7y-8+y | | 8-5n+2n=35-72 | | (-17-11)= | | 84=12(3y+1) | | 6c+8d-2(8c-4d)= | | 2x+6=6x+14 | | 3x^9-21x^7= | | 4(-12)-y=0 | | 0.67+0.5t=0.33 | | 18y=17y(y+6) | | 2(-12)-24=-y | | 14x+8=3x+107 | | 8+15y-10=10y-2+y | | 2(x+3)=6x+14 | | 77y=19(4y+16) | | 73=13x | | 14+8=3x+107 | | 7(r-1)=r-13+4r | | X+6=-4 | | k-18+8k=4(k+3) | | -2-4x+7=5-4x | | v-1=3 | | -c+4+4c=-3c+16 | | 2t-5=3(t+2) |

Equations solver categories