1.5(x-3)=4.5x+3

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Solution for 1.5(x-3)=4.5x+3 equation:


Simplifying
1.5(x + -3) = 4.5x + 3

Reorder the terms:
1.5(-3 + x) = 4.5x + 3
(-3 * 1.5 + x * 1.5) = 4.5x + 3
(-4.5 + 1.5x) = 4.5x + 3

Reorder the terms:
-4.5 + 1.5x = 3 + 4.5x

Solving
-4.5 + 1.5x = 3 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
-4.5 + 1.5x + -4.5x = 3 + 4.5x + -4.5x

Combine like terms: 1.5x + -4.5x = -3x
-4.5 + -3x = 3 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
-4.5 + -3x = 3 + 0.0
-4.5 + -3x = 3

Add '4.5' to each side of the equation.
-4.5 + 4.5 + -3x = 3 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + -3x = 3 + 4.5
-3x = 3 + 4.5

Combine like terms: 3 + 4.5 = 7.5
-3x = 7.5

Divide each side by '-3'.
x = -2.5

Simplifying
x = -2.5

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