6(2x-4)+3(5-x)-9=9(x-2)

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Solution for 6(2x-4)+3(5-x)-9=9(x-2) equation:


Simplifying
6(2x + -4) + 3(5 + -1x) + -9 = 9(x + -2)

Reorder the terms:
6(-4 + 2x) + 3(5 + -1x) + -9 = 9(x + -2)
(-4 * 6 + 2x * 6) + 3(5 + -1x) + -9 = 9(x + -2)
(-24 + 12x) + 3(5 + -1x) + -9 = 9(x + -2)
-24 + 12x + (5 * 3 + -1x * 3) + -9 = 9(x + -2)
-24 + 12x + (15 + -3x) + -9 = 9(x + -2)

Reorder the terms:
-24 + 15 + -9 + 12x + -3x = 9(x + -2)

Combine like terms: -24 + 15 = -9
-9 + -9 + 12x + -3x = 9(x + -2)

Combine like terms: -9 + -9 = -18
-18 + 12x + -3x = 9(x + -2)

Combine like terms: 12x + -3x = 9x
-18 + 9x = 9(x + -2)

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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