0.5x-16=1.3x-20

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Solution for 0.5x-16=1.3x-20 equation:


Simplifying
0.5x + -16 = 1.3x + -20

Reorder the terms:
-16 + 0.5x = 1.3x + -20

Reorder the terms:
-16 + 0.5x = -20 + 1.3x

Solving
-16 + 0.5x = -20 + 1.3x

Solving for variable 'x'.

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

Add '-1.3x' to each side of the equation.
-16 + 0.5x + -1.3x = -20 + 1.3x + -1.3x

Combine like terms: 0.5x + -1.3x = -0.8x
-16 + -0.8x = -20 + 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
-16 + -0.8x = -20 + 0.0
-16 + -0.8x = -20

Add '16' to each side of the equation.
-16 + 16 + -0.8x = -20 + 16

Combine like terms: -16 + 16 = 0
0 + -0.8x = -20 + 16
-0.8x = -20 + 16

Combine like terms: -20 + 16 = -4
-0.8x = -4

Divide each side by '-0.8'.
x = 5

Simplifying
x = 5

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