7x-9=5(x-1)

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Solution for 7x-9=5(x-1) equation:


Simplifying
7x + -9 = 5(x + -1)

Reorder the terms:
-9 + 7x = 5(x + -1)

Reorder the terms:
-9 + 7x = 5(-1 + x)
-9 + 7x = (-1 * 5 + x * 5)
-9 + 7x = (-5 + 5x)

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

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
-9 + 2x = -5 + 0
-9 + 2x = -5

Add '9' to each side of the equation.
-9 + 9 + 2x = -5 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = -5 + 9
2x = -5 + 9

Combine like terms: -5 + 9 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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