9(x-1)=7(x-3)

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Solution for 9(x-1)=7(x-3) equation:


Simplifying
9(x + -1) = 7(x + -3)

Reorder the terms:
9(-1 + x) = 7(x + -3)
(-1 * 9 + x * 9) = 7(x + -3)
(-9 + 9x) = 7(x + -3)

Reorder the terms:
-9 + 9x = 7(-3 + x)
-9 + 9x = (-3 * 7 + x * 7)
-9 + 9x = (-21 + 7x)

Solving
-9 + 9x = -21 + 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.
-9 + 9x + -7x = -21 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-9 + 2x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + 2x = -21 + 0
-9 + 2x = -21

Add '9' to each side of the equation.
-9 + 9 + 2x = -21 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = -21 + 9
2x = -21 + 9

Combine like terms: -21 + 9 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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