5x-20=-3x-6+16

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Solution for 5x-20=-3x-6+16 equation:


Simplifying
5x + -20 = -3x + -6 + 16

Reorder the terms:
-20 + 5x = -3x + -6 + 16

Reorder the terms:
-20 + 5x = -6 + 16 + -3x

Combine like terms: -6 + 16 = 10
-20 + 5x = 10 + -3x

Solving
-20 + 5x = 10 + -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.
-20 + 5x + 3x = 10 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-20 + 8x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 8x = 10 + 0
-20 + 8x = 10

Add '20' to each side of the equation.
-20 + 20 + 8x = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 10 + 20
8x = 10 + 20

Combine like terms: 10 + 20 = 30
8x = 30

Divide each side by '8'.
x = 3.75

Simplifying
x = 3.75

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