0.5x+5=3x+10

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Solution for 0.5x+5=3x+10 equation:


Simplifying
0.5x + 5 = 3x + 10

Reorder the terms:
5 + 0.5x = 3x + 10

Reorder the terms:
5 + 0.5x = 10 + 3x

Solving
5 + 0.5x = 10 + 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.
5 + 0.5x + -3x = 10 + 3x + -3x

Combine like terms: 0.5x + -3x = -2.5x
5 + -2.5x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -2.5x = 10 + 0
5 + -2.5x = 10

Add '-5' to each side of the equation.
5 + -5 + -2.5x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -2.5x = 10 + -5
-2.5x = 10 + -5

Combine like terms: 10 + -5 = 5
-2.5x = 5

Divide each side by '-2.5'.
x = -2

Simplifying
x = -2

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