2(x-3)-18=5x-3(x-2)

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Solution for 2(x-3)-18=5x-3(x-2) equation:


Simplifying
2(x + -3) + -18 = 5x + -3(x + -2)

Reorder the terms:
2(-3 + x) + -18 = 5x + -3(x + -2)
(-3 * 2 + x * 2) + -18 = 5x + -3(x + -2)
(-6 + 2x) + -18 = 5x + -3(x + -2)

Reorder the terms:
-6 + -18 + 2x = 5x + -3(x + -2)

Combine like terms: -6 + -18 = -24
-24 + 2x = 5x + -3(x + -2)

Reorder the terms:
-24 + 2x = 5x + -3(-2 + x)
-24 + 2x = 5x + (-2 * -3 + x * -3)
-24 + 2x = 5x + (6 + -3x)

Reorder the terms:
-24 + 2x = 6 + 5x + -3x

Combine like terms: 5x + -3x = 2x
-24 + 2x = 6 + 2x

Add '-2x' to each side of the equation.
-24 + 2x + -2x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 0 = 6 + 2x + -2x
-24 = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 = 6 + 0
-24 = 6

Solving
-24 = 6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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