5(x+5)=9x-6

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Solution for 5(x+5)=9x-6 equation:


Simplifying
5(x + 5) = 9x + -6

Reorder the terms:
5(5 + x) = 9x + -6
(5 * 5 + x * 5) = 9x + -6
(25 + 5x) = 9x + -6

Reorder the terms:
25 + 5x = -6 + 9x

Solving
25 + 5x = -6 + 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.
25 + 5x + -9x = -6 + 9x + -9x

Combine like terms: 5x + -9x = -4x
25 + -4x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
25 + -4x = -6 + 0
25 + -4x = -6

Add '-25' to each side of the equation.
25 + -25 + -4x = -6 + -25

Combine like terms: 25 + -25 = 0
0 + -4x = -6 + -25
-4x = -6 + -25

Combine like terms: -6 + -25 = -31
-4x = -31

Divide each side by '-4'.
x = 7.75

Simplifying
x = 7.75

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