10000=(a*b*c*d*x)+(e*d*f*x)

Solution for 10000=(a*b*c*d*x)+(e*d*f*x) equation:

Simplifying
10000 = (a * b * c * d * x) + (e * d * f * x)

Multiply a * b
10000 = (ab * c * d * x) + (e * d * f * x)

Multiply ab * c
10000 = (abc * d * x) + (e * d * f * x)

Multiply abc * d
10000 = (abcd * x) + (e * d * f * x)

Multiply abcd * x
10000 = (abcdx) + (e * d * f * x)
10000 = abcdx + (e * d * f * x)

Multiply e * d
10000 = abcdx + (de * f * x)

Multiply de * f
10000 = abcdx + (def * x)

Multiply def * x
10000 = abcdx + (defx)
10000 = abcdx + defx

Solving
10000 = abcdx + defx

Solving for variable 'a'.

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

Add '-1abcdx' to each side of the equation.
10000 + -1abcdx = abcdx + -1abcdx + defx

Combine like terms: abcdx + -1abcdx = 0
10000 + -1abcdx = 0 + defx
10000 + -1abcdx = defx

Add '-10000' to each side of the equation.
10000 + -10000 + -1abcdx = -10000 + defx

Combine like terms: 10000 + -10000 = 0
0 + -1abcdx = -10000 + defx
-1abcdx = -10000 + defx

Divide each side by '-1bcdx'.
a = 10000b-1c-1d-1x-1 + -1b-1c-1ef

Simplifying
a = 10000b-1c-1d-1x-1 + -1b-1c-1ef