9(x-6)=7x-36

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Solution for 9(x-6)=7x-36 equation:


Simplifying
9(x + -6) = 7x + -36

Reorder the terms:
9(-6 + x) = 7x + -36
(-6 * 9 + x * 9) = 7x + -36
(-54 + 9x) = 7x + -36

Reorder the terms:
-54 + 9x = -36 + 7x

Solving
-54 + 9x = -36 + 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.
-54 + 9x + -7x = -36 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-54 + 2x = -36 + 7x + -7x

Combine like terms: 7x + -7x = 0
-54 + 2x = -36 + 0
-54 + 2x = -36

Add '54' to each side of the equation.
-54 + 54 + 2x = -36 + 54

Combine like terms: -54 + 54 = 0
0 + 2x = -36 + 54
2x = -36 + 54

Combine like terms: -36 + 54 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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