5(x-3)-16=3x+5

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


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

Reorder the terms:
5(-3 + x) + -16 = 3x + 5
(-3 * 5 + x * 5) + -16 = 3x + 5
(-15 + 5x) + -16 = 3x + 5

Reorder the terms:
-15 + -16 + 5x = 3x + 5

Combine like terms: -15 + -16 = -31
-31 + 5x = 3x + 5

Reorder the terms:
-31 + 5x = 5 + 3x

Solving
-31 + 5x = 5 + 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.
-31 + 5x + -3x = 5 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-31 + 2x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + 2x = 5 + 0
-31 + 2x = 5

Add '31' to each side of the equation.
-31 + 31 + 2x = 5 + 31

Combine like terms: -31 + 31 = 0
0 + 2x = 5 + 31
2x = 5 + 31

Combine like terms: 5 + 31 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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