0.33333(6x-15)=.5(10x-4)

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Solution for 0.33333(6x-15)=.5(10x-4) equation: 


Simplifying
0.33333(6x + -15) = 0.5(10x + -4)

Reorder the terms:
0.33333(-15 + 6x) = 0.5(10x + -4)
(-15 * 0.33333 + 6x * 0.33333) = 0.5(10x + -4)
(-4.99995 + 1.99998x) = 0.5(10x + -4)

Reorder the terms:
-4.99995 + 1.99998x = 0.5(-4 + 10x)
-4.99995 + 1.99998x = (-4 * 0.5 + 10x * 0.5)
-4.99995 + 1.99998x = (-2 + 5x)

Solving
-4.99995 + 1.99998x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4.99995 + 1.99998x + -5x = -2 + 5x + -5x

Combine like terms: 1.99998x + -5x = -3.00002x
-4.99995 + -3.00002x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4.99995 + -3.00002x = -2 + 0
-4.99995 + -3.00002x = -2

Add '4.99995' to each side of the equation.
-4.99995 + 4.99995 + -3.00002x = -2 + 4.99995

Combine like terms: -4.99995 + 4.99995 = 0.00000
0.00000 + -3.00002x = -2 + 4.99995
-3.00002x = -2 + 4.99995

Combine like terms: -2 + 4.99995 = 2.99995
-3.00002x = 2.99995

Divide each side by '-3.00002'.
x = -0.9999766668

Simplifying
x = -0.9999766668

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