9(x-1)=7(x-2)

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Solution for 9(x-1)=7(x-2) equation:


Simplifying
9(x + -1) = 7(x + -2)

Reorder the terms:
9(-1 + x) = 7(x + -2)
(-1 * 9 + x * 9) = 7(x + -2)
(-9 + 9x) = 7(x + -2)

Reorder the terms:
-9 + 9x = 7(-2 + x)
-9 + 9x = (-2 * 7 + x * 7)
-9 + 9x = (-14 + 7x)

Solving
-9 + 9x = -14 + 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 = -14 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-9 + 2x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + 2x = -14 + 0
-9 + 2x = -14

Add '9' to each side of the equation.
-9 + 9 + 2x = -14 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = -14 + 9
2x = -14 + 9

Combine like terms: -14 + 9 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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