2.5(3x-9)-3(0.5x+4.5)=0

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Solution for 2.5(3x-9)-3(0.5x+4.5)=0 equation:


Simplifying
2.5(3x + -9) + -3(0.5x + 4.5) = 0

Reorder the terms:
2.5(-9 + 3x) + -3(0.5x + 4.5) = 0
(-9 * 2.5 + 3x * 2.5) + -3(0.5x + 4.5) = 0
(-22.5 + 7.5x) + -3(0.5x + 4.5) = 0

Reorder the terms:
-22.5 + 7.5x + -3(4.5 + 0.5x) = 0
-22.5 + 7.5x + (4.5 * -3 + 0.5x * -3) = 0
-22.5 + 7.5x + (-13.5 + -1.5x) = 0

Reorder the terms:
-22.5 + -13.5 + 7.5x + -1.5x = 0

Combine like terms: -22.5 + -13.5 = -36
-36 + 7.5x + -1.5x = 0

Combine like terms: 7.5x + -1.5x = 6x
-36 + 6x = 0

Solving
-36 + 6x = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 6x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 6x = 0 + 36
6x = 0 + 36

Combine like terms: 0 + 36 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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