3x+9=5(x+4)-5

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Solution for 3x+9=5(x+4)-5 equation:


Simplifying
3x + 9 = 5(x + 4) + -5

Reorder the terms:
9 + 3x = 5(x + 4) + -5

Reorder the terms:
9 + 3x = 5(4 + x) + -5
9 + 3x = (4 * 5 + x * 5) + -5
9 + 3x = (20 + 5x) + -5

Reorder the terms:
9 + 3x = 20 + -5 + 5x

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

Solving
9 + 3x = 15 + 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.
9 + 3x + -5x = 15 + 5x + -5x

Combine like terms: 3x + -5x = -2x
9 + -2x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -2x = 15 + 0
9 + -2x = 15

Add '-9' to each side of the equation.
9 + -9 + -2x = 15 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 15 + -9
-2x = 15 + -9

Combine like terms: 15 + -9 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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