100(.06+0.04(80))=100(0.08(x+80))

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Solution for 100(.06+0.04(80))=100(0.08(x+80)) equation: 


Simplifying
100(0.06 + 0.04(80)) = 100(0.08(x + 80))

Multiply 0.04 * 80
100(0.06 + 3.2) = 100(0.08(x + 80))

Combine like terms: 0.06 + 3.2 = 3.26
100(3.26) = 100(0.08(x + 80))

Multiply 100 * 3.26
326 = 100(0.08(x + 80))

Reorder the terms:
326 = 100(0.08(80 + x))
326 = 100((80 * 0.08 + x * 0.08))
326 = 100((6.4 + 0.08x))
326 = (6.4 * 100 + 0.08x * 100)
326 = (640 + 8x)

Solving
326 = 640 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
326 + -8x = 640 + 8x + -8x

Combine like terms: 8x + -8x = 0
326 + -8x = 640 + 0
326 + -8x = 640

Add '-326' to each side of the equation.
326 + -326 + -8x = 640 + -326

Combine like terms: 326 + -326 = 0
0 + -8x = 640 + -326
-8x = 640 + -326

Combine like terms: 640 + -326 = 314
-8x = 314

Divide each side by '-8'.
x = -39.25

Simplifying
x = -39.25

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