m(x+a)=4(2x+10)

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Solution for m(x+a)=4(2x+10) equation:


Simplifying
m(x + a) = 4(2x + 10)

Reorder the terms:
m(a + x) = 4(2x + 10)
(a * m + x * m) = 4(2x + 10)
(am + mx) = 4(2x + 10)

Reorder the terms:
am + mx = 4(10 + 2x)
am + mx = (10 * 4 + 2x * 4)
am + mx = (40 + 8x)

Solving
am + mx = 40 + 8x

Solving for variable 'a'.

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

Add '-1mx' to each side of the equation.
am + mx + -1mx = 40 + -1mx + 8x

Combine like terms: mx + -1mx = 0
am + 0 = 40 + -1mx + 8x
am = 40 + -1mx + 8x

Divide each side by 'm'.
a = 40m-1 + -1x + 8m-1x

Simplifying
a = 40m-1 + -1x + 8m-1x

Reorder the terms:
a = 40m-1 + 8m-1x + -1x

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