5(x+3)+5=2x+47

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Solution for 5(x+3)+5=2x+47 equation:


Simplifying
5(x + 3) + 5 = 2x + 47

Reorder the terms:
5(3 + x) + 5 = 2x + 47
(3 * 5 + x * 5) + 5 = 2x + 47
(15 + 5x) + 5 = 2x + 47

Reorder the terms:
15 + 5 + 5x = 2x + 47

Combine like terms: 15 + 5 = 20
20 + 5x = 2x + 47

Reorder the terms:
20 + 5x = 47 + 2x

Solving
20 + 5x = 47 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + 5x + -2x = 47 + 2x + -2x

Combine like terms: 5x + -2x = 3x
20 + 3x = 47 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 3x = 47 + 0
20 + 3x = 47

Add '-20' to each side of the equation.
20 + -20 + 3x = 47 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 47 + -20
3x = 47 + -20

Combine like terms: 47 + -20 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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