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

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


Simplifying
9(x + -5) + 5 = 9x + -5(5 + -1x)

Reorder the terms:
9(-5 + x) + 5 = 9x + -5(5 + -1x)
(-5 * 9 + x * 9) + 5 = 9x + -5(5 + -1x)
(-45 + 9x) + 5 = 9x + -5(5 + -1x)

Reorder the terms:
-45 + 5 + 9x = 9x + -5(5 + -1x)

Combine like terms: -45 + 5 = -40
-40 + 9x = 9x + -5(5 + -1x)
-40 + 9x = 9x + (5 * -5 + -1x * -5)
-40 + 9x = 9x + (-25 + 5x)

Reorder the terms:
-40 + 9x = -25 + 9x + 5x

Combine like terms: 9x + 5x = 14x
-40 + 9x = -25 + 14x

Solving
-40 + 9x = -25 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-40 + 9x + -14x = -25 + 14x + -14x

Combine like terms: 9x + -14x = -5x
-40 + -5x = -25 + 14x + -14x

Combine like terms: 14x + -14x = 0
-40 + -5x = -25 + 0
-40 + -5x = -25

Add '40' to each side of the equation.
-40 + 40 + -5x = -25 + 40

Combine like terms: -40 + 40 = 0
0 + -5x = -25 + 40
-5x = -25 + 40

Combine like terms: -25 + 40 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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