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

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


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

Reorder the terms:
5(-4 + 2x) = 3(3x + -6) + x + -2
(-4 * 5 + 2x * 5) = 3(3x + -6) + x + -2
(-20 + 10x) = 3(3x + -6) + x + -2

Reorder the terms:
-20 + 10x = 3(-6 + 3x) + x + -2
-20 + 10x = (-6 * 3 + 3x * 3) + x + -2
-20 + 10x = (-18 + 9x) + x + -2

Reorder the terms:
-20 + 10x = -18 + -2 + 9x + x

Combine like terms: -18 + -2 = -20
-20 + 10x = -20 + 9x + x

Combine like terms: 9x + x = 10x
-20 + 10x = -20 + 10x

Add '20' to each side of the equation.
-20 + 20 + 10x = -20 + 20 + 10x

Combine like terms: -20 + 20 = 0
0 + 10x = -20 + 20 + 10x
10x = -20 + 20 + 10x

Combine like terms: -20 + 20 = 0
10x = 0 + 10x
10x = 10x

Add '-10x' to each side of the equation.
10x + -10x = 10x + -10x

Combine like terms: 10x + -10x = 0
0 = 10x + -10x

Combine like terms: 10x + -10x = 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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