0.5(2x-5)=4x-1

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Solution for 0.5(2x-5)=4x-1 equation:


Simplifying
0.5(2x + -5) = 4x + -1

Reorder the terms:
0.5(-5 + 2x) = 4x + -1
(-5 * 0.5 + 2x * 0.5) = 4x + -1
(-2.5 + 1x) = 4x + -1

Reorder the terms:
-2.5 + 1x = -1 + 4x

Solving
-2.5 + 1x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2.5 + 1x + -4x = -1 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-2.5 + -3x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2.5 + -3x = -1 + 0
-2.5 + -3x = -1

Add '2.5' to each side of the equation.
-2.5 + 2.5 + -3x = -1 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -3x = -1 + 2.5
-3x = -1 + 2.5

Combine like terms: -1 + 2.5 = 1.5
-3x = 1.5

Divide each side by '-3'.
x = -0.5

Simplifying
x = -0.5

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