9(x-1)=2x-7

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


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

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

Reorder the terms:
-9 + 9x = -7 + 2x

Solving
-9 + 9x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 9x + -2x = -7 + 2x + -2x

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

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

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

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

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

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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