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

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


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

Reorder the terms:
7 + 5(2 + 4z) = -3(4z + -9) + -7
7 + (2 * 5 + 4z * 5) = -3(4z + -9) + -7
7 + (10 + 20z) = -3(4z + -9) + -7

Combine like terms: 7 + 10 = 17
17 + 20z = -3(4z + -9) + -7

Reorder the terms:
17 + 20z = -3(-9 + 4z) + -7
17 + 20z = (-9 * -3 + 4z * -3) + -7
17 + 20z = (27 + -12z) + -7

Reorder the terms:
17 + 20z = 27 + -7 + -12z

Combine like terms: 27 + -7 = 20
17 + 20z = 20 + -12z

Solving
17 + 20z = 20 + -12z

Solving for variable 'z'.

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

Add '12z' to each side of the equation.
17 + 20z + 12z = 20 + -12z + 12z

Combine like terms: 20z + 12z = 32z
17 + 32z = 20 + -12z + 12z

Combine like terms: -12z + 12z = 0
17 + 32z = 20 + 0
17 + 32z = 20

Add '-17' to each side of the equation.
17 + -17 + 32z = 20 + -17

Combine like terms: 17 + -17 = 0
0 + 32z = 20 + -17
32z = 20 + -17

Combine like terms: 20 + -17 = 3
32z = 3

Divide each side by '32'.
z = 0.09375

Simplifying
z = 0.09375

See similar equations:

| 3x+2(-0.7)=4 | | 7(a-8)+23=3(a-7) | | 52/3x5.7 | | 7n+5=82 | | 3w+13=-3w+1 | | .3x-.3(6-x)=.9 | | 5(1.3)-4y=3 | | 30x^2+12x= | | 30x^2+12x | | u-5/3u+3/5=-1/5(u-1/3) | | 2x-8(5-x)=4 | | 9b+3=66 | | 3+-k=0 | | 6+3r=12 | | 5(1.3)-4(-0.7)=3 | | 12x-4y+8=0 | | 4(4x-2)+6=-1 | | y+4.5=-6.2 | | 11*(d-9)=55 | | 16t^2-46t=0 | | 10z+19=119 | | -6=6v | | -3+10y+6=15+14y-40 | | 4z=-3.6 | | 8x-7=6x+29 | | -19+5=3w+4w | | 3w-16=2 | | .5y+.9=.3-.1y | | (f+108)1/2=73 | | -4x+2(x-3)=4x-(3+5x)-7 | | b+2=12 | | x-10=8-x |

Equations solver categories