ax-b=b(x+c)

Simple and best practice solution for ax-b=b(x+c) 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 ax-b=b(x+c) equation:


Simplifying
ax + -1b = b(x + c)

Reorder the terms:
ax + -1b = b(c + x)
ax + -1b = (c * b + x * b)
ax + -1b = (bc + bx)

Solving
ax + -1b = bc + bx

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
ax + -1b + b = bc + b + bx

Combine like terms: -1b + b = 0
ax + 0 = bc + b + bx
ax = bc + b + bx

Reorder the terms:
ax = b + bc + bx

Divide each side by 'x'.
a = bx-1 + bcx-1 + b

Simplifying
a = bx-1 + bcx-1 + b

Reorder the terms:
a = b + bcx-1 + bx-1

See similar equations:

| 5lx-2l=30 | | 5+2(4x+5)=4(x-3)+3 | | 200/x=60/100 | | 40500/3.14 | | 5(3.14)/4 | | 5(3.14)/8 | | -3x+12=-3(x-4) | | 7x+5=7x-18 | | y=-0.129x^2+1.667x | | x-15/2x-14=0 | | -5n+6=N+18 | | 12x+12=4-15x+9 | | c=245+15h | | b^2+q^2-81=0 | | 105+150+140+x+135+125+135=900 | | X+y=53000 | | 3.02/2 | | G=-2n+10 | | 44880=34x | | a^8+19a^4+88=0 | | 6x+12=6x+48 | | 0.50(40)=0.20(40-x)+0.80x | | x=3.50+1.25(16-1) | | x=3.50+1.25(x-1) | | 5x=0.25*25 | | -0.5x-25=0.75-7x-1 | | 8t-2=8t+6 | | 24.63+12.50x+12=288.75 | | 1/2-x-1/9=x/2 | | 5/((2x^3)^0.25)=0 | | 5/((2x^3)^0.25)=(5/16)*x^(-3/4) | | F(x)=108x^2-99y+3 |

Equations solver categories