2x+1=.5(x-1+15)

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Solution for 2x+1=.5(x-1+15) equation:


Simplifying
2x + 1 = 0.5(x + -1 + 15)

Reorder the terms:
1 + 2x = 0.5(x + -1 + 15)

Reorder the terms:
1 + 2x = 0.5(-1 + 15 + x)

Combine like terms: -1 + 15 = 14
1 + 2x = 0.5(14 + x)
1 + 2x = (14 * 0.5 + x * 0.5)
1 + 2x = (7 + 0.5x)

Solving
1 + 2x = 7 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
1 + 2x + -0.5x = 7 + 0.5x + -0.5x

Combine like terms: 2x + -0.5x = 1.5x
1 + 1.5x = 7 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
1 + 1.5x = 7 + 0.0
1 + 1.5x = 7

Add '-1' to each side of the equation.
1 + -1 + 1.5x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 1.5x = 7 + -1
1.5x = 7 + -1

Combine like terms: 7 + -1 = 6
1.5x = 6

Divide each side by '1.5'.
x = 4

Simplifying
x = 4

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