1.5(x-4)-3=4.5(x-2)

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Solution for 1.5(x-4)-3=4.5(x-2) equation:


Simplifying
1.5(x + -4) + -3 = 4.5(x + -2)

Reorder the terms:
1.5(-4 + x) + -3 = 4.5(x + -2)
(-4 * 1.5 + x * 1.5) + -3 = 4.5(x + -2)
(-6 + 1.5x) + -3 = 4.5(x + -2)

Reorder the terms:
-6 + -3 + 1.5x = 4.5(x + -2)

Combine like terms: -6 + -3 = -9
-9 + 1.5x = 4.5(x + -2)

Reorder the terms:
-9 + 1.5x = 4.5(-2 + x)
-9 + 1.5x = (-2 * 4.5 + x * 4.5)
-9 + 1.5x = (-9 + 4.5x)

Add '9' to each side of the equation.
-9 + 9 + 1.5x = -9 + 9 + 4.5x

Combine like terms: -9 + 9 = 0
0 + 1.5x = -9 + 9 + 4.5x
1.5x = -9 + 9 + 4.5x

Combine like terms: -9 + 9 = 0
1.5x = 0 + 4.5x
1.5x = 4.5x

Solving
1.5x = 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.
1.5x + -4.5x = 4.5x + -4.5x

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

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

Divide each side by '-3'.
x = 0.0

Simplifying
x = 0.0

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