0.5(x+5)=0.333(5x-4)

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Solution for 0.5(x+5)=0.333(5x-4) equation:


Simplifying
0.5(x + 5) = 0.333(5x + -4)

Reorder the terms:
0.5(5 + x) = 0.333(5x + -4)
(5 * 0.5 + x * 0.5) = 0.333(5x + -4)
(2.5 + 0.5x) = 0.333(5x + -4)

Reorder the terms:
2.5 + 0.5x = 0.333(-4 + 5x)
2.5 + 0.5x = (-4 * 0.333 + 5x * 0.333)
2.5 + 0.5x = (-1.332 + 1.665x)

Solving
2.5 + 0.5x = -1.332 + 1.665x

Solving for variable 'x'.

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

Add '-1.665x' to each side of the equation.
2.5 + 0.5x + -1.665x = -1.332 + 1.665x + -1.665x

Combine like terms: 0.5x + -1.665x = -1.165x
2.5 + -1.165x = -1.332 + 1.665x + -1.665x

Combine like terms: 1.665x + -1.665x = 0.000
2.5 + -1.165x = -1.332 + 0.000
2.5 + -1.165x = -1.332

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -1.165x = -1.332 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.165x = -1.332 + -2.5
-1.165x = -1.332 + -2.5

Combine like terms: -1.332 + -2.5 = -3.832
-1.165x = -3.832

Divide each side by '-1.165'.
x = 3.289270386

Simplifying
x = 3.289270386

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