5(z+3)+q=3(z-2)+6

Simple and best practice solution for 5(z+3)+q=3(z-2)+6 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(z+3)+q=3(z-2)+6 equation:


Simplifying
5(z + 3) + q = 3(z + -2) + 6

Reorder the terms:
5(3 + z) + q = 3(z + -2) + 6
(3 * 5 + z * 5) + q = 3(z + -2) + 6
(15 + 5z) + q = 3(z + -2) + 6

Reorder the terms:
15 + q + 5z = 3(z + -2) + 6

Reorder the terms:
15 + q + 5z = 3(-2 + z) + 6
15 + q + 5z = (-2 * 3 + z * 3) + 6
15 + q + 5z = (-6 + 3z) + 6

Reorder the terms:
15 + q + 5z = -6 + 6 + 3z

Combine like terms: -6 + 6 = 0
15 + q + 5z = 0 + 3z
15 + q + 5z = 3z

Solving
15 + q + 5z = 3z

Solving for variable 'q'.

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

Add '-15' to each side of the equation.
15 + q + -15 + 5z = -15 + 3z

Reorder the terms:
15 + -15 + q + 5z = -15 + 3z

Combine like terms: 15 + -15 = 0
0 + q + 5z = -15 + 3z
q + 5z = -15 + 3z

Add '-5z' to each side of the equation.
q + 5z + -5z = -15 + 3z + -5z

Combine like terms: 5z + -5z = 0
q + 0 = -15 + 3z + -5z
q = -15 + 3z + -5z

Combine like terms: 3z + -5z = -2z
q = -15 + -2z

Simplifying
q = -15 + -2z

See similar equations:

| 19x=9+7 | | 10-4a-x=3x+b | | 10-4a-x=x+b | | 81x^2-180x+99=0 | | 7x=6(6z+7) | | x^2+16x+15=0 | | 36k^4-48k^3-20k^2= | | x-a+2=2ax-3x+5 | | y^4-17y^2+16=0 | | 3n-1=9n+3.5 | | m^4+5m^2= | | 4x+50=180 | | p^2+4p=3 | | -x^2+25=0 | | 2x+9=4x-7 | | 26x^2+59x-15=0 | | 5(x+3)+2(x-7)=3x-11 | | 5y(4y-3)=-4y+3 | | 5n-10=3n-9 | | Ax-2=bx-x | | 2y(5y-2)=15y+6 | | 81x^2-36x+3=0 | | (2x)(3x-4)(x-10)=180 | | 2+8x=34 | | 49x^2+28x-35=0 | | 3x-5=19(x-2) | | 2x+7=10x+3 | | -x^2+144=0 | | 1000=n-(10n+150) | | x^2+4x+4=54 | | 2(n-7)+4n=20 | | 36x^2-36x-27=0 |

Equations solver categories