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

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


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

Reorder the terms:
5(-5 + x) = 3(5x + -7) * 9
(-5 * 5 + x * 5) = 3(5x + -7) * 9
(-25 + 5x) = 3(5x + -7) * 9

Reorder the terms:
-25 + 5x = 3(-7 + 5x) * 9

Reorder the terms for easier multiplication:
-25 + 5x = 3 * 9(-7 + 5x)

Multiply 3 * 9
-25 + 5x = 27(-7 + 5x)
-25 + 5x = (-7 * 27 + 5x * 27)
-25 + 5x = (-189 + 135x)

Solving
-25 + 5x = -189 + 135x

Solving for variable 'x'.

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

Add '-135x' to each side of the equation.
-25 + 5x + -135x = -189 + 135x + -135x

Combine like terms: 5x + -135x = -130x
-25 + -130x = -189 + 135x + -135x

Combine like terms: 135x + -135x = 0
-25 + -130x = -189 + 0
-25 + -130x = -189

Add '25' to each side of the equation.
-25 + 25 + -130x = -189 + 25

Combine like terms: -25 + 25 = 0
0 + -130x = -189 + 25
-130x = -189 + 25

Combine like terms: -189 + 25 = -164
-130x = -164

Divide each side by '-130'.
x = 1.261538462

Simplifying
x = 1.261538462

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