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

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


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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 3x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
0 + 3x = -6 + 6 + 3x
3x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
3x = 0 + 3x
3x = 3x

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

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

Combine like terms: 3x + -3x = 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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