-9(z+3)+5(3z-7)=5(z-6)+13

Simple and best practice solution for -9(z+3)+5(3z-7)=5(z-6)+13 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 -9(z+3)+5(3z-7)=5(z-6)+13 equation:


Simplifying
-9(z + 3) + 5(3z + -7) = 5(z + -6) + 13

Reorder the terms:
-9(3 + z) + 5(3z + -7) = 5(z + -6) + 13
(3 * -9 + z * -9) + 5(3z + -7) = 5(z + -6) + 13
(-27 + -9z) + 5(3z + -7) = 5(z + -6) + 13

Reorder the terms:
-27 + -9z + 5(-7 + 3z) = 5(z + -6) + 13
-27 + -9z + (-7 * 5 + 3z * 5) = 5(z + -6) + 13
-27 + -9z + (-35 + 15z) = 5(z + -6) + 13

Reorder the terms:
-27 + -35 + -9z + 15z = 5(z + -6) + 13

Combine like terms: -27 + -35 = -62
-62 + -9z + 15z = 5(z + -6) + 13

Combine like terms: -9z + 15z = 6z
-62 + 6z = 5(z + -6) + 13

Reorder the terms:
-62 + 6z = 5(-6 + z) + 13
-62 + 6z = (-6 * 5 + z * 5) + 13
-62 + 6z = (-30 + 5z) + 13

Reorder the terms:
-62 + 6z = -30 + 13 + 5z

Combine like terms: -30 + 13 = -17
-62 + 6z = -17 + 5z

Solving
-62 + 6z = -17 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-62 + 6z + -5z = -17 + 5z + -5z

Combine like terms: 6z + -5z = 1z
-62 + 1z = -17 + 5z + -5z

Combine like terms: 5z + -5z = 0
-62 + 1z = -17 + 0
-62 + 1z = -17

Add '62' to each side of the equation.
-62 + 62 + 1z = -17 + 62

Combine like terms: -62 + 62 = 0
0 + 1z = -17 + 62
1z = -17 + 62

Combine like terms: -17 + 62 = 45
1z = 45

Divide each side by '1'.
z = 45

Simplifying
z = 45

See similar equations:

| 6t-t-8=4t-7 | | .8(x+30)+.2x=49 | | 121-4x=14x+15 | | 6-3(2g+4)-4g=5(1-2g) | | 9-10x=69-45x | | 6k-15-4k+28= | | -8(x-6)=8-7x | | 6(n-3)-(4-3n)=8n | | 6(n-3)-(4-3n)=8n | | -1(x-27)+3(x+3)=x+25 | | 2x+13-9x=18-19x+12x-5 | | 4a+4=-12 | | x+11= | | 90=4(45x-2)+30 | | 6x-1.3=3.2 | | 33t-99=0 | | 6x+5=4(x-2) | | -8(x-6)=-7x | | 100+2v=150+1v | | 103-2x=25x+19 | | 0.1y+11=0 | | 0.1y+11=9 | | -5a+20+7a=3a-6a | | x+6*x+9=30 | | 5-7x=16-14 | | 11x^2-122+11=0 | | 5q-7=0.28 | | 4x+3=6x-7 | | 5*y-3=2*y+12 | | 2x-10=11-x | | x/5+3=7 | | 7(c-5)=1+6c |

Equations solver categories