s(x)+a(x)=102+8(x+2)

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Solution for s(x)+a(x)=102+8(x+2) equation:


Simplifying
s(x) + a(x) = 102 + 8(x + 2)

Multiply s * x
sx + a(x) = 102 + 8(x + 2)

Multiply a * x
sx + ax = 102 + 8(x + 2)

Reorder the terms:
ax + sx = 102 + 8(x + 2)

Reorder the terms:
ax + sx = 102 + 8(2 + x)
ax + sx = 102 + (2 * 8 + x * 8)
ax + sx = 102 + (16 + 8x)

Combine like terms: 102 + 16 = 118
ax + sx = 118 + 8x

Solving
ax + sx = 118 + 8x

Solving for variable 'a'.

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

Add '-1sx' to each side of the equation.
ax + sx + -1sx = 118 + -1sx + 8x

Combine like terms: sx + -1sx = 0
ax + 0 = 118 + -1sx + 8x
ax = 118 + -1sx + 8x

Divide each side by 'x'.
a = 118x-1 + -1s + 8

Simplifying
a = 118x-1 + -1s + 8

Reorder the terms:
a = 8 + -1s + 118x-1

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