5(-7x+5)=-9(x-6)

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Solution for 5(-7x+5)=-9(x-6) equation:


Simplifying
5(-7x + 5) = -9(x + -6)

Reorder the terms:
5(5 + -7x) = -9(x + -6)
(5 * 5 + -7x * 5) = -9(x + -6)
(25 + -35x) = -9(x + -6)

Reorder the terms:
25 + -35x = -9(-6 + x)
25 + -35x = (-6 * -9 + x * -9)
25 + -35x = (54 + -9x)

Solving
25 + -35x = 54 + -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 + -35x + 9x = 54 + -9x + 9x

Combine like terms: -35x + 9x = -26x
25 + -26x = 54 + -9x + 9x

Combine like terms: -9x + 9x = 0
25 + -26x = 54 + 0
25 + -26x = 54

Add '-25' to each side of the equation.
25 + -25 + -26x = 54 + -25

Combine like terms: 25 + -25 = 0
0 + -26x = 54 + -25
-26x = 54 + -25

Combine like terms: 54 + -25 = 29
-26x = 29

Divide each side by '-26'.
x = -1.115384615

Simplifying
x = -1.115384615

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