5x-1=0.5(6x-8)

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Solution for 5x-1=0.5(6x-8) equation:


Simplifying
5x + -1 = 0.5(6x + -8)

Reorder the terms:
-1 + 5x = 0.5(6x + -8)

Reorder the terms:
-1 + 5x = 0.5(-8 + 6x)
-1 + 5x = (-8 * 0.5 + 6x * 0.5)
-1 + 5x = (-4 + 3x)

Solving
-1 + 5x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 5x + -3x = -4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-1 + 2x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + 2x = -4 + 0
-1 + 2x = -4

Add '1' to each side of the equation.
-1 + 1 + 2x = -4 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = -4 + 1
2x = -4 + 1

Combine like terms: -4 + 1 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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