5x-16=3(10-x)

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Solution for 5x-16=3(10-x) equation:


Simplifying
5x + -16 = 3(10 + -1x)

Reorder the terms:
-16 + 5x = 3(10 + -1x)
-16 + 5x = (10 * 3 + -1x * 3)
-16 + 5x = (30 + -3x)

Solving
-16 + 5x = 30 + -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.
-16 + 5x + 3x = 30 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-16 + 8x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 8x = 30 + 0
-16 + 8x = 30

Add '16' to each side of the equation.
-16 + 16 + 8x = 30 + 16

Combine like terms: -16 + 16 = 0
0 + 8x = 30 + 16
8x = 30 + 16

Combine like terms: 30 + 16 = 46
8x = 46

Divide each side by '8'.
x = 5.75

Simplifying
x = 5.75

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