0.075(x+4000)=0.08x+0.07(1000)

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Solution for 0.075(x+4000)=0.08x+0.07(1000) equation: 


Simplifying
0.075(x + 4000) = 0.08x + 0.07(1000)

Reorder the terms:
0.075(4000 + x) = 0.08x + 0.07(1000)
(4000 * 0.075 + x * 0.075) = 0.08x + 0.07(1000)
(300 + 0.075x) = 0.08x + 0.07(1000)

Multiply 0.07 * 1000
300 + 0.075x = 0.08x + 70

Reorder the terms:
300 + 0.075x = 70 + 0.08x

Solving
300 + 0.075x = 70 + 0.08x

Solving for variable 'x'.

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

Add '-0.08x' to each side of the equation.
300 + 0.075x + -0.08x = 70 + 0.08x + -0.08x

Combine like terms: 0.075x + -0.08x = -0.005x
300 + -0.005x = 70 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
300 + -0.005x = 70 + 0.00
300 + -0.005x = 70

Add '-300' to each side of the equation.
300 + -300 + -0.005x = 70 + -300

Combine like terms: 300 + -300 = 0
0 + -0.005x = 70 + -300
-0.005x = 70 + -300

Combine like terms: 70 + -300 = -230
-0.005x = -230

Divide each side by '-0.005'.
x = 46000

Simplifying
x = 46000

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