90q+20(1-q)=5q+85(1-q)

Simple and best practice solution for 90q+20(1-q)=5q+85(1-q) 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 90q+20(1-q)=5q+85(1-q) equation: 


Simplifying
90q + 20(1 + -1q) = 5q + 85(1 + -1q)
90q + (1 * 20 + -1q * 20) = 5q + 85(1 + -1q)
90q + (20 + -20q) = 5q + 85(1 + -1q)

Reorder the terms:
20 + 90q + -20q = 5q + 85(1 + -1q)

Combine like terms: 90q + -20q = 70q
20 + 70q = 5q + 85(1 + -1q)
20 + 70q = 5q + (1 * 85 + -1q * 85)
20 + 70q = 5q + (85 + -85q)

Reorder the terms:
20 + 70q = 85 + 5q + -85q

Combine like terms: 5q + -85q = -80q
20 + 70q = 85 + -80q

Solving
20 + 70q = 85 + -80q

Solving for variable 'q'.

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

Add '80q' to each side of the equation.
20 + 70q + 80q = 85 + -80q + 80q

Combine like terms: 70q + 80q = 150q
20 + 150q = 85 + -80q + 80q

Combine like terms: -80q + 80q = 0
20 + 150q = 85 + 0
20 + 150q = 85

Add '-20' to each side of the equation.
20 + -20 + 150q = 85 + -20

Combine like terms: 20 + -20 = 0
0 + 150q = 85 + -20
150q = 85 + -20

Combine like terms: 85 + -20 = 65
150q = 65

Divide each side by '150'.
q = 0.4333333333

Simplifying
q = 0.4333333333

See similar equations:

| 4p+wr=r-5h | | 1/2k-(k+1/4)=1/8(k+2) | | 10p+95(1-p)=95-85 | | 10p+95(1-p)+95-85= | | 2x+13=20 | | x^2/2x | | 3x-5=-1 | | 70/120 | | -25v=-450 | | 1=u/8-2 | | 4q=960 | | n/2+7=11 | | p+269=567 | | q/2+6=10 | | .6x-.5=.7 | | 1=g/4-2 | | 19=4m+11 | | 2g+2=8 | | 2x^2-12x+28=equation | | -9(w+8)=-2 | | 8-5(2(x)+1)=2-6(x-3) | | 3(2x-1)/5.3 | | -4+2z=0 | | ln(4x-7)=5 | | 4x+5x+45=180 | | (8x-5)*(60x^2+32x+15)=0 | | n=74-20logn | | 49u^2-64= | | 3(14-4y)+2y=2 | | (3a+4)+(a+4)+(a+7)=50 | | 10(x)-5=6(x)-18 | | 3a+4+a+4+a+7=50 |

Equations solver categories