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

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


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

Reorder the terms:
7(-9 + x) = 5(x + -1)
(-9 * 7 + x * 7) = 5(x + -1)
(-63 + 7x) = 5(x + -1)

Reorder the terms:
-63 + 7x = 5(-1 + x)
-63 + 7x = (-1 * 5 + x * 5)
-63 + 7x = (-5 + 5x)

Solving
-63 + 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.
-63 + 7x + -5x = -5 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-63 + 2x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-63 + 2x = -5 + 0
-63 + 2x = -5

Add '63' to each side of the equation.
-63 + 63 + 2x = -5 + 63

Combine like terms: -63 + 63 = 0
0 + 2x = -5 + 63
2x = -5 + 63

Combine like terms: -5 + 63 = 58
2x = 58

Divide each side by '2'.
x = 29

Simplifying
x = 29

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