500*0.025+x(0.075)=0.065(500+x)

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Solution for 500*0.025+x(0.075)=0.065(500+x) equation: 


Simplifying
500 * 0.025 + x(0.075) = 0.065(500 + x)

Multiply 500 * 0.025
12.5 + x(0.075) = 0.065(500 + x)

Reorder the terms for easier multiplication:
12.5 + 0.075x = 0.065(500 + x)
12.5 + 0.075x = (500 * 0.065 + x * 0.065)
12.5 + 0.075x = (32.5 + 0.065x)

Solving
12.5 + 0.075x = 32.5 + 0.065x

Solving for variable 'x'.

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

Add '-0.065x' to each side of the equation.
12.5 + 0.075x + -0.065x = 32.5 + 0.065x + -0.065x

Combine like terms: 0.075x + -0.065x = 0.01x
12.5 + 0.01x = 32.5 + 0.065x + -0.065x

Combine like terms: 0.065x + -0.065x = 0.000
12.5 + 0.01x = 32.5 + 0.000
12.5 + 0.01x = 32.5

Add '-12.5' to each side of the equation.
12.5 + -12.5 + 0.01x = 32.5 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 0.01x = 32.5 + -12.5
0.01x = 32.5 + -12.5

Combine like terms: 32.5 + -12.5 = 20
0.01x = 20

Divide each side by '0.01'.
x = 2000

Simplifying
x = 2000

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