3(3x+5)=29(x-5)

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Solution for 3(3x+5)=29(x-5) equation: 


Simplifying
3(3x + 5) = 29(x + -5)

Reorder the terms:
3(5 + 3x) = 29(x + -5)
(5 * 3 + 3x * 3) = 29(x + -5)
(15 + 9x) = 29(x + -5)

Reorder the terms:
15 + 9x = 29(-5 + x)
15 + 9x = (-5 * 29 + x * 29)
15 + 9x = (-145 + 29x)

Solving
15 + 9x = -145 + 29x

Solving for variable 'x'.

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

Add '-29x' to each side of the equation.
15 + 9x + -29x = -145 + 29x + -29x

Combine like terms: 9x + -29x = -20x
15 + -20x = -145 + 29x + -29x

Combine like terms: 29x + -29x = 0
15 + -20x = -145 + 0
15 + -20x = -145

Add '-15' to each side of the equation.
15 + -15 + -20x = -145 + -15

Combine like terms: 15 + -15 = 0
0 + -20x = -145 + -15
-20x = -145 + -15

Combine like terms: -145 + -15 = -160
-20x = -160

Divide each side by '-20'.
x = 8

Simplifying
x = 8

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