100(4+x)=.75(8+x)

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Solution for 100(4+x)=.75(8+x) equation:


Simplifying
100(4 + x) = 0.75(8 + x)
(4 * 100 + x * 100) = 0.75(8 + x)
(400 + 100x) = 0.75(8 + x)
400 + 100x = (8 * 0.75 + x * 0.75)
400 + 100x = (6 + 0.75x)

Solving
400 + 100x = 6 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
400 + 100x + -0.75x = 6 + 0.75x + -0.75x

Combine like terms: 100x + -0.75x = 99.25x
400 + 99.25x = 6 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
400 + 99.25x = 6 + 0.00
400 + 99.25x = 6

Add '-400' to each side of the equation.
400 + -400 + 99.25x = 6 + -400

Combine like terms: 400 + -400 = 0
0 + 99.25x = 6 + -400
99.25x = 6 + -400

Combine like terms: 6 + -400 = -394
99.25x = -394

Divide each side by '99.25'.
x = -3.9697733

Simplifying
x = -3.9697733

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