3x+14=0.5x+5

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Solution for 3x+14=0.5x+5 equation:


Simplifying
3x + 14 = 0.5x + 5

Reorder the terms:
14 + 3x = 0.5x + 5

Reorder the terms:
14 + 3x = 5 + 0.5x

Solving
14 + 3x = 5 + 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.
14 + 3x + -0.5x = 5 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
14 + 2.5x = 5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
14 + 2.5x = 5 + 0.0
14 + 2.5x = 5

Add '-14' to each side of the equation.
14 + -14 + 2.5x = 5 + -14

Combine like terms: 14 + -14 = 0
0 + 2.5x = 5 + -14
2.5x = 5 + -14

Combine like terms: 5 + -14 = -9
2.5x = -9

Divide each side by '2.5'.
x = -3.6

Simplifying
x = -3.6

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