6(x-6)=x(16-7)

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Solution for 6(x-6)=x(16-7) equation:


Simplifying
6(x + -6) = x(16 + -7)

Reorder the terms:
6(-6 + x) = x(16 + -7)
(-6 * 6 + x * 6) = x(16 + -7)
(-36 + 6x) = x(16 + -7)

Combine like terms: 16 + -7 = 9
-36 + 6x = x(9)

Reorder the terms for easier multiplication:
-36 + 6x = 9x

Solving
-36 + 6x = 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.
-36 + 6x + -9x = 9x + -9x

Combine like terms: 6x + -9x = -3x
-36 + -3x = 9x + -9x

Combine like terms: 9x + -9x = 0
-36 + -3x = 0

Add '36' to each side of the equation.
-36 + 36 + -3x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -3x = 0 + 36
-3x = 0 + 36

Combine like terms: 0 + 36 = 36
-3x = 36

Divide each side by '-3'.
x = -12

Simplifying
x = -12

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