7x-45=9(x-3)

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Solution for 7x-45=9(x-3) equation:


Simplifying
7x + -45 = 9(x + -3)

Reorder the terms:
-45 + 7x = 9(x + -3)

Reorder the terms:
-45 + 7x = 9(-3 + x)
-45 + 7x = (-3 * 9 + x * 9)
-45 + 7x = (-27 + 9x)

Solving
-45 + 7x = -27 + 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.
-45 + 7x + -9x = -27 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-45 + -2x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
-45 + -2x = -27 + 0
-45 + -2x = -27

Add '45' to each side of the equation.
-45 + 45 + -2x = -27 + 45

Combine like terms: -45 + 45 = 0
0 + -2x = -27 + 45
-2x = -27 + 45

Combine like terms: -27 + 45 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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