2x-1=.5(3x+5)

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Solution for 2x-1=.5(3x+5) equation:


Simplifying
2x + -1 = 0.5(3x + 5)

Reorder the terms:
-1 + 2x = 0.5(3x + 5)

Reorder the terms:
-1 + 2x = 0.5(5 + 3x)
-1 + 2x = (5 * 0.5 + 3x * 0.5)
-1 + 2x = (2.5 + 1.5x)

Solving
-1 + 2x = 2.5 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-1 + 2x + -1.5x = 2.5 + 1.5x + -1.5x

Combine like terms: 2x + -1.5x = 0.5x
-1 + 0.5x = 2.5 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-1 + 0.5x = 2.5 + 0.0
-1 + 0.5x = 2.5

Add '1' to each side of the equation.
-1 + 1 + 0.5x = 2.5 + 1

Combine like terms: -1 + 1 = 0
0 + 0.5x = 2.5 + 1
0.5x = 2.5 + 1

Combine like terms: 2.5 + 1 = 3.5
0.5x = 3.5

Divide each side by '0.5'.
x = 7

Simplifying
x = 7

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