1.5x-6=(x-4)+8

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Solution for 1.5x-6=(x-4)+8 equation:


Simplifying
1.5x + -6 = (x + -4) + 8

Reorder the terms:
-6 + 1.5x = (x + -4) + 8

Reorder the terms:
-6 + 1.5x = (-4 + x) + 8

Remove parenthesis around (-4 + x)
-6 + 1.5x = -4 + x + 8

Reorder the terms:
-6 + 1.5x = -4 + 8 + x

Combine like terms: -4 + 8 = 4
-6 + 1.5x = 4 + x

Solving
-6 + 1.5x = 4 + x

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.
-6 + 1.5x + -1x = 4 + x + -1x

Combine like terms: 1.5x + -1x = 0.5x
-6 + 0.5x = 4 + x + -1x

Combine like terms: x + -1x = 0
-6 + 0.5x = 4 + 0
-6 + 0.5x = 4

Add '6' to each side of the equation.
-6 + 6 + 0.5x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 0.5x = 4 + 6
0.5x = 4 + 6

Combine like terms: 4 + 6 = 10
0.5x = 10

Divide each side by '0.5'.
x = 20

Simplifying
x = 20

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