x+6=.5x+10.5

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Solution for x+6=.5x+10.5 equation:


Simplifying
x + 6 = 0.5x + 10.5

Reorder the terms:
6 + x = 0.5x + 10.5

Reorder the terms:
6 + x = 10.5 + 0.5x

Solving
6 + x = 10.5 + 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.
6 + x + -0.5x = 10.5 + 0.5x + -0.5x

Combine like terms: x + -0.5x = 0.5x
6 + 0.5x = 10.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
6 + 0.5x = 10.5 + 0.0
6 + 0.5x = 10.5

Add '-6' to each side of the equation.
6 + -6 + 0.5x = 10.5 + -6

Combine like terms: 6 + -6 = 0
0 + 0.5x = 10.5 + -6
0.5x = 10.5 + -6

Combine like terms: 10.5 + -6 = 4.5
0.5x = 4.5

Divide each side by '0.5'.
x = 9

Simplifying
x = 9

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