3[5-3(4-q)]-5=5[3(5q-4)+2]-26

Simple and best practice solution for 3[5-3(4-q)]-5=5[3(5q-4)+2]-26 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 3[5-3(4-q)]-5=5[3(5q-4)+2]-26 equation: 


Simplifying
3[5 + -3(4 + -1q)] + -5 = 5[3(5q + -4) + 2] + -26
3[5 + (4 * -3 + -1q * -3)] + -5 = 5[3(5q + -4) + 2] + -26
3[5 + (-12 + 3q)] + -5 = 5[3(5q + -4) + 2] + -26

Combine like terms: 5 + -12 = -7
3[-7 + 3q] + -5 = 5[3(5q + -4) + 2] + -26
[-7 * 3 + 3q * 3] + -5 = 5[3(5q + -4) + 2] + -26
[-21 + 9q] + -5 = 5[3(5q + -4) + 2] + -26

Reorder the terms:
-21 + -5 + 9q = 5[3(5q + -4) + 2] + -26

Combine like terms: -21 + -5 = -26
-26 + 9q = 5[3(5q + -4) + 2] + -26

Reorder the terms:
-26 + 9q = 5[3(-4 + 5q) + 2] + -26
-26 + 9q = 5[(-4 * 3 + 5q * 3) + 2] + -26
-26 + 9q = 5[(-12 + 15q) + 2] + -26

Reorder the terms:
-26 + 9q = 5[-12 + 2 + 15q] + -26

Combine like terms: -12 + 2 = -10
-26 + 9q = 5[-10 + 15q] + -26
-26 + 9q = [-10 * 5 + 15q * 5] + -26
-26 + 9q = [-50 + 75q] + -26

Reorder the terms:
-26 + 9q = -50 + -26 + 75q

Combine like terms: -50 + -26 = -76
-26 + 9q = -76 + 75q

Solving
-26 + 9q = -76 + 75q

Solving for variable 'q'.

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

Add '-75q' to each side of the equation.
-26 + 9q + -75q = -76 + 75q + -75q

Combine like terms: 9q + -75q = -66q
-26 + -66q = -76 + 75q + -75q

Combine like terms: 75q + -75q = 0
-26 + -66q = -76 + 0
-26 + -66q = -76

Add '26' to each side of the equation.
-26 + 26 + -66q = -76 + 26

Combine like terms: -26 + 26 = 0
0 + -66q = -76 + 26
-66q = -76 + 26

Combine like terms: -76 + 26 = -50
-66q = -50

Divide each side by '-66'.
q = 0.7575757576

Simplifying
q = 0.7575757576

See similar equations:

| 2y+1= | | 4=-4(9c-10) | | 4x^2-27x+13=7x+4 | | p+3=22 | | X^2-3xy=0 | | X+3x=17+2x | | 5d+8=4d+16 | | 7[9-7(8-r)]-9=9[7(9r-8)+6]-82 | | 6(x-5)=15 | | x^2+4x-49=-3x-5 | | 7(a+9)=77 | | 3(x-6)+8=5(x+2)-8 | | -17+4=m-5 | | x^2-4x+6=3 | | 29.5=5c-8 | | d-7=13 | | 3a^2-4a-5=0 | | b^2-(2b+20)=0 | | 6d-9=-5d+13 | | 7e-8=8.1 | | 67+b=-64 | | 9(x-4)=9 | | 5x-5=x+14 | | 5+3X=17+2X | | 5+3=17+2X | | 2(4x-9)=6 | | 3a^2-12x=-1 | | 4(x-8)=-16 | | 6(x-5)=6 | | 6-4(3x-4)=10 | | 4(a+3)=24 | | -5-5=-2+x |

Equations solver categories