ab+c(d-f+g)=x-10

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Solution for ab+c(d-f+g)=x-10 equation: 


Simplifying
ab + c(d + -1f + g) = x + -10
ab + (d * c + -1f * c + g * c) = x + -10
ab + (cd + -1cf + cg) = x + -10

Reorder the terms:
ab + cd + -1cf + cg = -10 + x

Solving
ab + cd + -1cf + cg = -10 + x

Solving for variable 'a'.

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

Add '-1cd' to each side of the equation.
ab + cd + -1cf + -1cd + cg = -10 + -1cd + x

Reorder the terms:
ab + cd + -1cd + -1cf + cg = -10 + -1cd + x

Combine like terms: cd + -1cd = 0
ab + 0 + -1cf + cg = -10 + -1cd + x
ab + -1cf + cg = -10 + -1cd + x

Add 'cf' to each side of the equation.
ab + -1cf + cf + cg = -10 + -1cd + cf + x

Combine like terms: -1cf + cf = 0
ab + 0 + cg = -10 + -1cd + cf + x
ab + cg = -10 + -1cd + cf + x

Add '-1cg' to each side of the equation.
ab + cg + -1cg = -10 + -1cd + cf + -1cg + x

Combine like terms: cg + -1cg = 0
ab + 0 = -10 + -1cd + cf + -1cg + x
ab = -10 + -1cd + cf + -1cg + x

Divide each side by 'b'.
a = -10b-1 + -1b-1cd + b-1cf + -1b-1cg + b-1x

Simplifying
a = -10b-1 + -1b-1cd + b-1cf + -1b-1cg + b-1x

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