x+5=3(3x-5)

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


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

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

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

Solving
5 + x = -15 + 9x

Solving for variable 'x'.

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

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

Combine like terms: x + -9x = -8x
5 + -8x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -8x = -15 + 0
5 + -8x = -15

Add '-5' to each side of the equation.
5 + -5 + -8x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -15 + -5
-8x = -15 + -5

Combine like terms: -15 + -5 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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