0.02(5-x)+0.03=0.5(7+x)

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Solution for 0.02(5-x)+0.03=0.5(7+x) equation: 


Simplifying
0.02(5 + -1x) + 0.03 = 0.5(7 + x)
(5 * 0.02 + -1x * 0.02) + 0.03 = 0.5(7 + x)
(0.1 + -0.02x) + 0.03 = 0.5(7 + x)

Reorder the terms:
0.1 + 0.03 + -0.02x = 0.5(7 + x)

Combine like terms: 0.1 + 0.03 = 0.13
0.13 + -0.02x = 0.5(7 + x)
0.13 + -0.02x = (7 * 0.5 + x * 0.5)
0.13 + -0.02x = (3.5 + 0.5x)

Solving
0.13 + -0.02x = 3.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
0.13 + -0.02x + -0.5x = 3.5 + 0.5x + -0.5x

Combine like terms: -0.02x + -0.5x = -0.52x
0.13 + -0.52x = 3.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
0.13 + -0.52x = 3.5 + 0.0
0.13 + -0.52x = 3.5

Add '-0.13' to each side of the equation.
0.13 + -0.13 + -0.52x = 3.5 + -0.13

Combine like terms: 0.13 + -0.13 = 0.00
0.00 + -0.52x = 3.5 + -0.13
-0.52x = 3.5 + -0.13

Combine like terms: 3.5 + -0.13 = 3.37
-0.52x = 3.37

Divide each side by '-0.52'.
x = -6.480769231

Simplifying
x = -6.480769231

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