(x-6)+(x-8)=1.5x

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Solution for (x-6)+(x-8)=1.5x equation:


Simplifying
(x + -6) + (x + -8) = 1.5x

Reorder the terms:
(-6 + x) + (x + -8) = 1.5x

Remove parenthesis around (-6 + x)
-6 + x + (x + -8) = 1.5x

Reorder the terms:
-6 + x + (-8 + x) = 1.5x

Remove parenthesis around (-8 + x)
-6 + x + -8 + x = 1.5x

Reorder the terms:
-6 + -8 + x + x = 1.5x

Combine like terms: -6 + -8 = -14
-14 + x + x = 1.5x

Combine like terms: x + x = 2x
-14 + 2x = 1.5x

Solving
-14 + 2x = 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-14 + 2x + -1.5x = 1.5x + -1.5x

Combine like terms: 2x + -1.5x = 0.5x
-14 + 0.5x = 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-14 + 0.5x = 0.0

Add '14' to each side of the equation.
-14 + 14 + 0.5x = 0.0 + 14

Combine like terms: -14 + 14 = 0
0 + 0.5x = 0.0 + 14
0.5x = 0.0 + 14

Combine like terms: 0.0 + 14 = 14
0.5x = 14

Divide each side by '0.5'.
x = 28

Simplifying
x = 28

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