1.5x+6=3x-1

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Solution for 1.5x+6=3x-1 equation:


Simplifying
1.5x + 6 = 3x + -1

Reorder the terms:
6 + 1.5x = 3x + -1

Reorder the terms:
6 + 1.5x = -1 + 3x

Solving
6 + 1.5x = -1 + 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.
6 + 1.5x + -3x = -1 + 3x + -3x

Combine like terms: 1.5x + -3x = -1.5x
6 + -1.5x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -1.5x = -1 + 0
6 + -1.5x = -1

Add '-6' to each side of the equation.
6 + -6 + -1.5x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -1.5x = -1 + -6
-1.5x = -1 + -6

Combine like terms: -1 + -6 = -7
-1.5x = -7

Divide each side by '-1.5'.
x = 4.666666667

Simplifying
x = 4.666666667

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