0.065(x+4000)=0.08x+0.04(2000)

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Solution for 0.065(x+4000)=0.08x+0.04(2000) equation: 


Simplifying
0.065(x + 4000) = 0.08x + 0.04(2000)

Reorder the terms:
0.065(4000 + x) = 0.08x + 0.04(2000)
(4000 * 0.065 + x * 0.065) = 0.08x + 0.04(2000)
(260 + 0.065x) = 0.08x + 0.04(2000)

Multiply 0.04 * 2000
260 + 0.065x = 0.08x + 80

Reorder the terms:
260 + 0.065x = 80 + 0.08x

Solving
260 + 0.065x = 80 + 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.
260 + 0.065x + -0.08x = 80 + 0.08x + -0.08x

Combine like terms: 0.065x + -0.08x = -0.015x
260 + -0.015x = 80 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
260 + -0.015x = 80 + 0.00
260 + -0.015x = 80

Add '-260' to each side of the equation.
260 + -260 + -0.015x = 80 + -260

Combine like terms: 260 + -260 = 0
0 + -0.015x = 80 + -260
-0.015x = 80 + -260

Combine like terms: 80 + -260 = -180
-0.015x = -180

Divide each side by '-0.015'.
x = 12000

Simplifying
x = 12000

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