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

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


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

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

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

Solving
-9 + 7x = -15 + 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.
-9 + 7x + -9x = -15 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-9 + -2x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
-9 + -2x = -15 + 0
-9 + -2x = -15

Add '9' to each side of the equation.
-9 + 9 + -2x = -15 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = -15 + 9
-2x = -15 + 9

Combine like terms: -15 + 9 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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