5x-7=9(x-3)

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


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

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

Reorder the terms:
-7 + 5x = 9(-3 + x)
-7 + 5x = (-3 * 9 + x * 9)
-7 + 5x = (-27 + 9x)

Solving
-7 + 5x = -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.
-7 + 5x + -9x = -27 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-7 + -4x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + -4x = -27 + 0
-7 + -4x = -27

Add '7' to each side of the equation.
-7 + 7 + -4x = -27 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = -27 + 7
-4x = -27 + 7

Combine like terms: -27 + 7 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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