0.075(x+1000)=0.08x+0.05(1000)

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Solution for 0.075(x+1000)=0.08x+0.05(1000) equation: 


Simplifying
0.075(x + 1000) = 0.08x + 0.05(1000)

Reorder the terms:
0.075(1000 + x) = 0.08x + 0.05(1000)
(1000 * 0.075 + x * 0.075) = 0.08x + 0.05(1000)
(75 + 0.075x) = 0.08x + 0.05(1000)

Multiply 0.05 * 1000
75 + 0.075x = 0.08x + 50

Reorder the terms:
75 + 0.075x = 50 + 0.08x

Solving
75 + 0.075x = 50 + 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.
75 + 0.075x + -0.08x = 50 + 0.08x + -0.08x

Combine like terms: 0.075x + -0.08x = -0.005x
75 + -0.005x = 50 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
75 + -0.005x = 50 + 0.00
75 + -0.005x = 50

Add '-75' to each side of the equation.
75 + -75 + -0.005x = 50 + -75

Combine like terms: 75 + -75 = 0
0 + -0.005x = 50 + -75
-0.005x = 50 + -75

Combine like terms: 50 + -75 = -25
-0.005x = -25

Divide each side by '-0.005'.
x = 5000

Simplifying
x = 5000

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