.5x-4-3x=3x-49

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Solution for .5x-4-3x=3x-49 equation:


Simplifying
0.5x + -4 + -3x = 3x + -49

Reorder the terms:
-4 + 0.5x + -3x = 3x + -49

Combine like terms: 0.5x + -3x = -2.5x
-4 + -2.5x = 3x + -49

Reorder the terms:
-4 + -2.5x = -49 + 3x

Solving
-4 + -2.5x = -49 + 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.
-4 + -2.5x + -3x = -49 + 3x + -3x

Combine like terms: -2.5x + -3x = -5.5x
-4 + -5.5x = -49 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -5.5x = -49 + 0
-4 + -5.5x = -49

Add '4' to each side of the equation.
-4 + 4 + -5.5x = -49 + 4

Combine like terms: -4 + 4 = 0
0 + -5.5x = -49 + 4
-5.5x = -49 + 4

Combine like terms: -49 + 4 = -45
-5.5x = -45

Divide each side by '-5.5'.
x = 8.181818182

Simplifying
x = 8.181818182

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