5x+45=7x-9

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Solution for 5x+45=7x-9 equation:


Simplifying
5x + 45 = 7x + -9

Reorder the terms:
45 + 5x = 7x + -9

Reorder the terms:
45 + 5x = -9 + 7x

Solving
45 + 5x = -9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
45 + 5x + -7x = -9 + 7x + -7x

Combine like terms: 5x + -7x = -2x
45 + -2x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
45 + -2x = -9 + 0
45 + -2x = -9

Add '-45' to each side of the equation.
45 + -45 + -2x = -9 + -45

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

Combine like terms: -9 + -45 = -54
-2x = -54

Divide each side by '-2'.
x = 27

Simplifying
x = 27

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