(A+b)x=c

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


Simplifying
(A + b) * x = c

Reorder the terms for easier multiplication:
x(A + b) = c
(A * x + b * x) = c

Reorder the terms:
(bx + xA) = c
(bx + xA) = c

Solving
bx + xA = c

Solving for variable 'b'.

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

Add '-1xA' to each side of the equation.
bx + xA + -1xA = c + -1xA

Combine like terms: xA + -1xA = 0
bx + 0 = c + -1xA
bx = c + -1xA

Divide each side by 'x'.
b = cx-1 + -1A

Simplifying
b = cx-1 + -1A

Reorder the terms:
b = -1A + cx-1

See similar equations:

| 16x^3-20x^2-8x+3=0 | | -2-4/-10-5 | | 2log(x-1)=5 | | 2logx-1=5 | | 4x-1/2x=7/2x | | 3p-4q-5+7q-7r+7= | | 4p-2q+5-12p-3= | | r/4=-1 | | 1/5x+5x=7(18-x) | | 25/7x-10/8 | | 2+2/3x=5/6 | | 52/3x+45/8x | | 25=4+7/8x | | 7x-1y=-10 | | 7x+1y=-32 | | 8x+4y=-18 | | 6+(4+x)=6+4+x | | 5x+7y=-34 | | 4x^2+12=20 | | x^4-19x^2+60=0 | | 2xsquared-18=0 | | 75*75=60*60+a*a | | m-8-2=1half(m-2) | | 2xsquared-1=0 | | 9b^2-66b-48= | | 5(a-2)=2a+11 | | (2/5)x=30 | | 3x+15=48 | | 3x(X-2)=10 | | 1.3n=10.4 | | 8+(2/3)x-5=(1/3)x+17 | | 2y-24y=24 |

Equations solver categories