0.75(2x-5)=0.50(x+2)

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Solution for 0.75(2x-5)=0.50(x+2) equation: 


Simplifying
0.75(2x + -5) = 0.50(x + 2)

Reorder the terms:
0.75(-5 + 2x) = 0.50(x + 2)
(-5 * 0.75 + 2x * 0.75) = 0.50(x + 2)
(-3.75 + 1.5x) = 0.50(x + 2)

Reorder the terms:
-3.75 + 1.5x = 0.50(2 + x)
-3.75 + 1.5x = (2 * 0.50 + x * 0.50)
-3.75 + 1.5x = (1 + 0.50x)

Solving
-3.75 + 1.5x = 1 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
-3.75 + 1.5x + -0.50x = 1 + 0.50x + -0.50x

Combine like terms: 1.5x + -0.50x = 1x
-3.75 + 1x = 1 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
-3.75 + 1x = 1 + 0.00
-3.75 + 1x = 1

Add '3.75' to each side of the equation.
-3.75 + 3.75 + 1x = 1 + 3.75

Combine like terms: -3.75 + 3.75 = 0.00
0.00 + 1x = 1 + 3.75
1x = 1 + 3.75

Combine like terms: 1 + 3.75 = 4.75
1x = 4.75

Divide each side by '1'.
x = 4.75

Simplifying
x = 4.75

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