0.075(x+5000)=0.08x+0.06(2000)

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Solution for 0.075(x+5000)=0.08x+0.06(2000) equation: 


Simplifying
0.075(x + 5000) = 0.08x + 0.06(2000)

Reorder the terms:
0.075(5000 + x) = 0.08x + 0.06(2000)
(5000 * 0.075 + x * 0.075) = 0.08x + 0.06(2000)
(375 + 0.075x) = 0.08x + 0.06(2000)

Multiply 0.06 * 2000
375 + 0.075x = 0.08x + 120

Reorder the terms:
375 + 0.075x = 120 + 0.08x

Solving
375 + 0.075x = 120 + 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.
375 + 0.075x + -0.08x = 120 + 0.08x + -0.08x

Combine like terms: 0.075x + -0.08x = -0.005x
375 + -0.005x = 120 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
375 + -0.005x = 120 + 0.00
375 + -0.005x = 120

Add '-375' to each side of the equation.
375 + -375 + -0.005x = 120 + -375

Combine like terms: 375 + -375 = 0
0 + -0.005x = 120 + -375
-0.005x = 120 + -375

Combine like terms: 120 + -375 = -255
-0.005x = -255

Divide each side by '-0.005'.
x = 51000

Simplifying
x = 51000

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