x-1.5x-.6=1.5(x+.33)

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Solution for x-1.5x-.6=1.5(x+.33) equation:


Simplifying
x + -1.5x + -0.6 = 1.5(x + 0.33)

Reorder the terms:
-0.6 + x + -1.5x = 1.5(x + 0.33)

Combine like terms: x + -1.5x = -0.5x
-0.6 + -0.5x = 1.5(x + 0.33)

Reorder the terms:
-0.6 + -0.5x = 1.5(0.33 + x)
-0.6 + -0.5x = (0.33 * 1.5 + x * 1.5)
-0.6 + -0.5x = (0.495 + 1.5x)

Solving
-0.6 + -0.5x = 0.495 + 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.
-0.6 + -0.5x + -1.5x = 0.495 + 1.5x + -1.5x

Combine like terms: -0.5x + -1.5x = -2x
-0.6 + -2x = 0.495 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-0.6 + -2x = 0.495 + 0.0
-0.6 + -2x = 0.495

Add '0.6' to each side of the equation.
-0.6 + 0.6 + -2x = 0.495 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + -2x = 0.495 + 0.6
-2x = 0.495 + 0.6

Combine like terms: 0.495 + 0.6 = 1.095
-2x = 1.095

Divide each side by '-2'.
x = -0.5475

Simplifying
x = -0.5475

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