4x+5(7x-3)=9(x-5)

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Solution for 4x+5(7x-3)=9(x-5) equation:


Simplifying
4x + 5(7x + -3) = 9(x + -5)

Reorder the terms:
4x + 5(-3 + 7x) = 9(x + -5)
4x + (-3 * 5 + 7x * 5) = 9(x + -5)
4x + (-15 + 35x) = 9(x + -5)

Reorder the terms:
-15 + 4x + 35x = 9(x + -5)

Combine like terms: 4x + 35x = 39x
-15 + 39x = 9(x + -5)

Reorder the terms:
-15 + 39x = 9(-5 + x)
-15 + 39x = (-5 * 9 + x * 9)
-15 + 39x = (-45 + 9x)

Solving
-15 + 39x = -45 + 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.
-15 + 39x + -9x = -45 + 9x + -9x

Combine like terms: 39x + -9x = 30x
-15 + 30x = -45 + 9x + -9x

Combine like terms: 9x + -9x = 0
-15 + 30x = -45 + 0
-15 + 30x = -45

Add '15' to each side of the equation.
-15 + 15 + 30x = -45 + 15

Combine like terms: -15 + 15 = 0
0 + 30x = -45 + 15
30x = -45 + 15

Combine like terms: -45 + 15 = -30
30x = -30

Divide each side by '30'.
x = -1

Simplifying
x = -1

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