.5x+25=3x-46

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Solution for .5x+25=3x-46 equation:


Simplifying
0.5x + 25 = 3x + -46

Reorder the terms:
25 + 0.5x = 3x + -46

Reorder the terms:
25 + 0.5x = -46 + 3x

Solving
25 + 0.5x = -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.
25 + 0.5x + -3x = -46 + 3x + -3x

Combine like terms: 0.5x + -3x = -2.5x
25 + -2.5x = -46 + 3x + -3x

Combine like terms: 3x + -3x = 0
25 + -2.5x = -46 + 0
25 + -2.5x = -46

Add '-25' to each side of the equation.
25 + -25 + -2.5x = -46 + -25

Combine like terms: 25 + -25 = 0
0 + -2.5x = -46 + -25
-2.5x = -46 + -25

Combine like terms: -46 + -25 = -71
-2.5x = -71

Divide each side by '-2.5'.
x = 28.4

Simplifying
x = 28.4

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