2(x-9)=9x-75

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Solution for 2(x-9)=9x-75 equation:


Simplifying
2(x + -9) = 9x + -75

Reorder the terms:
2(-9 + x) = 9x + -75
(-9 * 2 + x * 2) = 9x + -75
(-18 + 2x) = 9x + -75

Reorder the terms:
-18 + 2x = -75 + 9x

Solving
-18 + 2x = -75 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-18 + 2x + -9x = -75 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-18 + -7x = -75 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + -7x = -75 + 0
-18 + -7x = -75

Add '18' to each side of the equation.
-18 + 18 + -7x = -75 + 18

Combine like terms: -18 + 18 = 0
0 + -7x = -75 + 18
-7x = -75 + 18

Combine like terms: -75 + 18 = -57
-7x = -57

Divide each side by '-7'.
x = 8.142857143

Simplifying
x = 8.142857143

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