2x+3=.5(2x+10)

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Solution for 2x+3=.5(2x+10) equation:


Simplifying
2x + 3 = 0.5(2x + 10)

Reorder the terms:
3 + 2x = 0.5(2x + 10)

Reorder the terms:
3 + 2x = 0.5(10 + 2x)
3 + 2x = (10 * 0.5 + 2x * 0.5)
3 + 2x = (5 + 1x)

Solving
3 + 2x = 5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 2x + -1x = 5 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
3 + 1x = 5 + 0
3 + 1x = 5

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

Combine like terms: 3 + -3 = 0
0 + 1x = 5 + -3
1x = 5 + -3

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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