4x-9=1.5x+6

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Solution for 4x-9=1.5x+6 equation:


Simplifying
4x + -9 = 1.5x + 6

Reorder the terms:
-9 + 4x = 1.5x + 6

Reorder the terms:
-9 + 4x = 6 + 1.5x

Solving
-9 + 4x = 6 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-9 + 4x + -1.5x = 6 + 1.5x + -1.5x

Combine like terms: 4x + -1.5x = 2.5x
-9 + 2.5x = 6 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-9 + 2.5x = 6 + 0.0
-9 + 2.5x = 6

Add '9' to each side of the equation.
-9 + 9 + 2.5x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 2.5x = 6 + 9
2.5x = 6 + 9

Combine like terms: 6 + 9 = 15
2.5x = 15

Divide each side by '2.5'.
x = 6

Simplifying
x = 6

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