A(x+c)b(x+d)-ax=e

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


Simplifying
A(x + c) * b(x + d) + -1ax = e

Reorder the terms:
A(c + x) * b(x + d) + -1ax = e

Reorder the terms:
A(c + x) * b(d + x) + -1ax = e

Reorder the terms for easier multiplication:
A * b(c + x)(d + x) + -1ax = e

Multiply A * b
bA(c + x)(d + x) + -1ax = e

Multiply (c + x) * (d + x)
bA(c(d + x) + x(d + x)) + -1ax = e
bA((d * c + x * c) + x(d + x)) + -1ax = e
bA((cd + cx) + x(d + x)) + -1ax = e
bA(cd + cx + (d * x + x * x)) + -1ax = e
bA(cd + cx + (dx + x2)) + -1ax = e
bA(cd + cx + dx + x2) + -1ax = e
(cd * bA + cx * bA + dx * bA + x2 * bA) + -1ax = e
(bcdA + bcxA + bdxA + bx2A) + -1ax = e

Reorder the terms:
-1ax + bcdA + bcxA + bdxA + bx2A = e

Solving
-1ax + bcdA + bcxA + bdxA + bx2A = e

Solving for variable 'a'.

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

Add '-1bcdA' to each side of the equation.
-1ax + bcdA + bcxA + bdxA + -1bcdA + bx2A = -1bcdA + e

Reorder the terms:
-1ax + bcdA + -1bcdA + bcxA + bdxA + bx2A = -1bcdA + e

Combine like terms: bcdA + -1bcdA = 0
-1ax + 0 + bcxA + bdxA + bx2A = -1bcdA + e
-1ax + bcxA + bdxA + bx2A = -1bcdA + e

Add '-1bcxA' to each side of the equation.
-1ax + bcxA + bdxA + -1bcxA + bx2A = -1bcdA + -1bcxA + e

Reorder the terms:
-1ax + bcxA + -1bcxA + bdxA + bx2A = -1bcdA + -1bcxA + e

Combine like terms: bcxA + -1bcxA = 0
-1ax + 0 + bdxA + bx2A = -1bcdA + -1bcxA + e
-1ax + bdxA + bx2A = -1bcdA + -1bcxA + e

Add '-1bdxA' to each side of the equation.
-1ax + bdxA + -1bdxA + bx2A = -1bcdA + -1bcxA + -1bdxA + e

Combine like terms: bdxA + -1bdxA = 0
-1ax + 0 + bx2A = -1bcdA + -1bcxA + -1bdxA + e
-1ax + bx2A = -1bcdA + -1bcxA + -1bdxA + e

Add '-1bx2A' to each side of the equation.
-1ax + bx2A + -1bx2A = -1bcdA + -1bcxA + -1bdxA + -1bx2A + e

Combine like terms: bx2A + -1bx2A = 0
-1ax + 0 = -1bcdA + -1bcxA + -1bdxA + -1bx2A + e
-1ax = -1bcdA + -1bcxA + -1bdxA + -1bx2A + e

Divide each side by '-1x'.
a = bcdx-1A + bcA + bdA + bxA + -1ex-1

Simplifying
a = bcdx-1A + bcA + bdA + bxA + -1ex-1

Reorder the terms:
a = bcA + bcdx-1A + bdA + bxA + -1ex-1

See similar equations:

| 75+2t=100-2 | | 9x^2+x+7whenx=-2 | | (7b+4b)(7b-4b)= | | 7x+13y=86 | | 6z=3z-4+2z | | 16-5x=-24 | | x^2+x=0.32746 | | 2y^2+8y=0 | | 8x+7=103 | | x/10=14/3 | | 0.67-x+5x=.5+x | | 90x-60=175x+35 | | 17/6x-1 | | 3(7g+2)=22.5 | | 10.4/12.8=x/8 | | 4n+8y=232 | | .66x=x | | 2y-5=x-9 | | (3s+2)(3s-2)= | | x=2/3x | | X-4/3=-5/12 | | 13x-5=2x-82 | | 3z-4i+2=5iz | | 2(y+3)=10y | | 8ab^2-3b= | | 2x^3+20x^2+22x-140=0 | | 13x=75 | | x+6+x+6+y^2=1 | | 2v+3a+.99=p | | 8.79x-6.54=6.48+13.7x | | 5X+15=1X-7 | | x+44=34 |

Equations solver categories