5(9x-5)=7(6x+2)

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Solution for 5(9x-5)=7(6x+2) equation:


Simplifying
5(9x + -5) = 7(6x + 2)

Reorder the terms:
5(-5 + 9x) = 7(6x + 2)
(-5 * 5 + 9x * 5) = 7(6x + 2)
(-25 + 45x) = 7(6x + 2)

Reorder the terms:
-25 + 45x = 7(2 + 6x)
-25 + 45x = (2 * 7 + 6x * 7)
-25 + 45x = (14 + 42x)

Solving
-25 + 45x = 14 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
-25 + 45x + -42x = 14 + 42x + -42x

Combine like terms: 45x + -42x = 3x
-25 + 3x = 14 + 42x + -42x

Combine like terms: 42x + -42x = 0
-25 + 3x = 14 + 0
-25 + 3x = 14

Add '25' to each side of the equation.
-25 + 25 + 3x = 14 + 25

Combine like terms: -25 + 25 = 0
0 + 3x = 14 + 25
3x = 14 + 25

Combine like terms: 14 + 25 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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