5(x+3)+3x+5=5x+9

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Solution for 5(x+3)+3x+5=5x+9 equation:


Simplifying
5(x + 3) + 3x + 5 = 5x + 9

Reorder the terms:
5(3 + x) + 3x + 5 = 5x + 9
(3 * 5 + x * 5) + 3x + 5 = 5x + 9
(15 + 5x) + 3x + 5 = 5x + 9

Reorder the terms:
15 + 5 + 5x + 3x = 5x + 9

Combine like terms: 15 + 5 = 20
20 + 5x + 3x = 5x + 9

Combine like terms: 5x + 3x = 8x
20 + 8x = 5x + 9

Reorder the terms:
20 + 8x = 9 + 5x

Solving
20 + 8x = 9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + 8x + -5x = 9 + 5x + -5x

Combine like terms: 8x + -5x = 3x
20 + 3x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + 3x = 9 + 0
20 + 3x = 9

Add '-20' to each side of the equation.
20 + -20 + 3x = 9 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 9 + -20
3x = 9 + -20

Combine like terms: 9 + -20 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

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