x-2=1.5x+5

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Solution for x-2=1.5x+5 equation:


Simplifying
x + -2 = 1.5x + 5

Reorder the terms:
-2 + x = 1.5x + 5

Reorder the terms:
-2 + x = 5 + 1.5x

Solving
-2 + x = 5 + 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.
-2 + x + -1.5x = 5 + 1.5x + -1.5x

Combine like terms: x + -1.5x = -0.5x
-2 + -0.5x = 5 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-2 + -0.5x = 5 + 0.0
-2 + -0.5x = 5

Add '2' to each side of the equation.
-2 + 2 + -0.5x = 5 + 2

Combine like terms: -2 + 2 = 0
0 + -0.5x = 5 + 2
-0.5x = 5 + 2

Combine like terms: 5 + 2 = 7
-0.5x = 7

Divide each side by '-0.5'.
x = -14

Simplifying
x = -14

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