.055(x+2000)=.08x+.05(2000)

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Solution for .055(x+2000)=.08x+.05(2000) equation: 


Simplifying
0.055(x + 2000) = 0.08x + 0.05(2000)

Reorder the terms:
0.055(2000 + x) = 0.08x + 0.05(2000)
(2000 * 0.055 + x * 0.055) = 0.08x + 0.05(2000)
(110 + 0.055x) = 0.08x + 0.05(2000)

Multiply 0.05 * 2000
110 + 0.055x = 0.08x + 100

Reorder the terms:
110 + 0.055x = 100 + 0.08x

Solving
110 + 0.055x = 100 + 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.
110 + 0.055x + -0.08x = 100 + 0.08x + -0.08x

Combine like terms: 0.055x + -0.08x = -0.025x
110 + -0.025x = 100 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
110 + -0.025x = 100 + 0.00
110 + -0.025x = 100

Add '-110' to each side of the equation.
110 + -110 + -0.025x = 100 + -110

Combine like terms: 110 + -110 = 0
0 + -0.025x = 100 + -110
-0.025x = 100 + -110

Combine like terms: 100 + -110 = -10
-0.025x = -10

Divide each side by '-0.025'.
x = 400

Simplifying
x = 400

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