34.92=0.02(x-500)+39

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Solution for 34.92=0.02(x-500)+39 equation:


Simplifying
34.92 = 0.02(x + -500) + 39

Reorder the terms:
34.92 = 0.02(-500 + x) + 39
34.92 = (-500 * 0.02 + x * 0.02) + 39
34.92 = (-10 + 0.02x) + 39

Reorder the terms:
34.92 = -10 + 39 + 0.02x

Combine like terms: -10 + 39 = 29
34.92 = 29 + 0.02x

Solving
34.92 = 29 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
34.92 + -0.02x = 29 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
34.92 + -0.02x = 29 + 0.00
34.92 + -0.02x = 29

Add '-34.92' to each side of the equation.
34.92 + -34.92 + -0.02x = 29 + -34.92

Combine like terms: 34.92 + -34.92 = 0.00
0.00 + -0.02x = 29 + -34.92
-0.02x = 29 + -34.92

Combine like terms: 29 + -34.92 = -5.92
-0.02x = -5.92

Divide each side by '-0.02'.
x = 296

Simplifying
x = 296

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