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

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


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

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

Reorder the terms for easier multiplication:
3 * 5(-5 + x) = 5x + 9

Multiply 3 * 5
15(-5 + x) = 5x + 9
(-5 * 15 + x * 15) = 5x + 9
(-75 + 15x) = 5x + 9

Reorder the terms:
-75 + 15x = 9 + 5x

Solving
-75 + 15x = 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.
-75 + 15x + -5x = 9 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-75 + 10x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-75 + 10x = 9 + 0
-75 + 10x = 9

Add '75' to each side of the equation.
-75 + 75 + 10x = 9 + 75

Combine like terms: -75 + 75 = 0
0 + 10x = 9 + 75
10x = 9 + 75

Combine like terms: 9 + 75 = 84
10x = 84

Divide each side by '10'.
x = 8.4

Simplifying
x = 8.4

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