0.04(10000+0.08x)=0.078(10000+x)

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Solution for 0.04(10000+0.08x)=0.078(10000+x) equation: 


Simplifying
0.04(10000 + 0.08x) = 0.078(10000 + x)
(10000 * 0.04 + 0.08x * 0.04) = 0.078(10000 + x)
(400 + 0.0032x) = 0.078(10000 + x)
400 + 0.0032x = (10000 * 0.078 + x * 0.078)
400 + 0.0032x = (780 + 0.078x)

Solving
400 + 0.0032x = 780 + 0.078x

Solving for variable 'x'.

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

Add '-0.078x' to each side of the equation.
400 + 0.0032x + -0.078x = 780 + 0.078x + -0.078x

Combine like terms: 0.0032x + -0.078x = -0.0748x
400 + -0.0748x = 780 + 0.078x + -0.078x

Combine like terms: 0.078x + -0.078x = 0.000
400 + -0.0748x = 780 + 0.000
400 + -0.0748x = 780

Add '-400' to each side of the equation.
400 + -400 + -0.0748x = 780 + -400

Combine like terms: 400 + -400 = 0
0 + -0.0748x = 780 + -400
-0.0748x = 780 + -400

Combine like terms: 780 + -400 = 380
-0.0748x = 380

Divide each side by '-0.0748'.
x = -5080.213904

Simplifying
x = -5080.213904

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