2x+3(1.5x-3)=6

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Solution for 2x+3(1.5x-3)=6 equation:


Simplifying
2x + 3(1.5x + -3) = 6

Reorder the terms:
2x + 3(-3 + 1.5x) = 6
2x + (-3 * 3 + 1.5x * 3) = 6
2x + (-9 + 4.5x) = 6

Reorder the terms:
-9 + 2x + 4.5x = 6

Combine like terms: 2x + 4.5x = 6.5x
-9 + 6.5x = 6

Solving
-9 + 6.5x = 6

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 6.5x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 6.5x = 6 + 9
6.5x = 6 + 9

Combine like terms: 6 + 9 = 15
6.5x = 15

Divide each side by '6.5'.
x = 2.307692308

Simplifying
x = 2.307692308

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