1.5x+24=3x-46

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Solution for 1.5x+24=3x-46 equation:


Simplifying
1.5x + 24 = 3x + -46

Reorder the terms:
24 + 1.5x = 3x + -46

Reorder the terms:
24 + 1.5x = -46 + 3x

Solving
24 + 1.5x = -46 + 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.
24 + 1.5x + -3x = -46 + 3x + -3x

Combine like terms: 1.5x + -3x = -1.5x
24 + -1.5x = -46 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -1.5x = -46 + 0
24 + -1.5x = -46

Add '-24' to each side of the equation.
24 + -24 + -1.5x = -46 + -24

Combine like terms: 24 + -24 = 0
0 + -1.5x = -46 + -24
-1.5x = -46 + -24

Combine like terms: -46 + -24 = -70
-1.5x = -70

Divide each side by '-1.5'.
x = 46.66666667

Simplifying
x = 46.66666667

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