.02(10x-25)=.33(15x-6)

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Solution for .02(10x-25)=.33(15x-6) equation:


Simplifying
0.02(10x + -25) = 0.33(15x + -6)

Reorder the terms:
0.02(-25 + 10x) = 0.33(15x + -6)
(-25 * 0.02 + 10x * 0.02) = 0.33(15x + -6)
(-0.5 + 0.2x) = 0.33(15x + -6)

Reorder the terms:
-0.5 + 0.2x = 0.33(-6 + 15x)
-0.5 + 0.2x = (-6 * 0.33 + 15x * 0.33)
-0.5 + 0.2x = (-1.98 + 4.95x)

Solving
-0.5 + 0.2x = -1.98 + 4.95x

Solving for variable 'x'.

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

Add '-4.95x' to each side of the equation.
-0.5 + 0.2x + -4.95x = -1.98 + 4.95x + -4.95x

Combine like terms: 0.2x + -4.95x = -4.75x
-0.5 + -4.75x = -1.98 + 4.95x + -4.95x

Combine like terms: 4.95x + -4.95x = 0.00
-0.5 + -4.75x = -1.98 + 0.00
-0.5 + -4.75x = -1.98

Add '0.5' to each side of the equation.
-0.5 + 0.5 + -4.75x = -1.98 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -4.75x = -1.98 + 0.5
-4.75x = -1.98 + 0.5

Combine like terms: -1.98 + 0.5 = -1.48
-4.75x = -1.48

Divide each side by '-4.75'.
x = 0.3115789474

Simplifying
x = 0.3115789474

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