1.5(2.5x-10.5)=4.5-3x

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Solution for 1.5(2.5x-10.5)=4.5-3x equation:


Simplifying
1.5(2.5x + -10.5) = 4.5 + -3x

Reorder the terms:
1.5(-10.5 + 2.5x) = 4.5 + -3x
(-10.5 * 1.5 + 2.5x * 1.5) = 4.5 + -3x
(-15.75 + 3.75x) = 4.5 + -3x

Solving
-15.75 + 3.75x = 4.5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-15.75 + 3.75x + 3x = 4.5 + -3x + 3x

Combine like terms: 3.75x + 3x = 6.75x
-15.75 + 6.75x = 4.5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-15.75 + 6.75x = 4.5 + 0
-15.75 + 6.75x = 4.5

Add '15.75' to each side of the equation.
-15.75 + 15.75 + 6.75x = 4.5 + 15.75

Combine like terms: -15.75 + 15.75 = 0.00
0.00 + 6.75x = 4.5 + 15.75
6.75x = 4.5 + 15.75

Combine like terms: 4.5 + 15.75 = 20.25
6.75x = 20.25

Divide each side by '6.75'.
x = 3

Simplifying
x = 3

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