x-3=-1.5x+12

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Solution for x-3=-1.5x+12 equation:


Simplifying
x + -3 = -1.5x + 12

Reorder the terms:
-3 + x = -1.5x + 12

Reorder the terms:
-3 + x = 12 + -1.5x

Solving
-3 + x = 12 + -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.
-3 + x + 1.5x = 12 + -1.5x + 1.5x

Combine like terms: x + 1.5x = 2.5x
-3 + 2.5x = 12 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
-3 + 2.5x = 12 + 0.0
-3 + 2.5x = 12

Add '3' to each side of the equation.
-3 + 3 + 2.5x = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 2.5x = 12 + 3
2.5x = 12 + 3

Combine like terms: 12 + 3 = 15
2.5x = 15

Divide each side by '2.5'.
x = 6

Simplifying
x = 6

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