.075(x+4000)=.8x+.03(1000)

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Solution for .075(x+4000)=.8x+.03(1000) equation:


Simplifying
0.075(x + 4000) = 0.8x + 0.03(1000)

Reorder the terms:
0.075(4000 + x) = 0.8x + 0.03(1000)
(4000 * 0.075 + x * 0.075) = 0.8x + 0.03(1000)
(300 + 0.075x) = 0.8x + 0.03(1000)

Multiply 0.03 * 1000
300 + 0.075x = 0.8x + 30

Reorder the terms:
300 + 0.075x = 30 + 0.8x

Solving
300 + 0.075x = 30 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
300 + 0.075x + -0.8x = 30 + 0.8x + -0.8x

Combine like terms: 0.075x + -0.8x = -0.725x
300 + -0.725x = 30 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
300 + -0.725x = 30 + 0.0
300 + -0.725x = 30

Add '-300' to each side of the equation.
300 + -300 + -0.725x = 30 + -300

Combine like terms: 300 + -300 = 0
0 + -0.725x = 30 + -300
-0.725x = 30 + -300

Combine like terms: 30 + -300 = -270
-0.725x = -270

Divide each side by '-0.725'.
x = 372.4137931

Simplifying
x = 372.4137931

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