4*(x+.5)=5*x

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Solution for 4*(x+.5)=5*x equation: 


Simplifying
4(x + 0.5) = 5x

Reorder the terms:
4(0.5 + x) = 5x
(0.5 * 4 + x * 4) = 5x
(2 + 4x) = 5x

Solving
2 + 4x = 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.
2 + 4x + -5x = 5x + -5x

Combine like terms: 4x + -5x = -1x
2 + -1x = 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -1x = 0

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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