x-2[(x-3)-(3x-8)]=5(x-2)

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Solution for x-2[(x-3)-(3x-8)]=5(x-2) equation:


Simplifying
x + -2[(x + -3) + -1(3x + -8)] = 5(x + -2)

Reorder the terms:
x + -2[(-3 + x) + -1(3x + -8)] = 5(x + -2)

Remove parenthesis around (-3 + x)
x + -2[-3 + x + -1(3x + -8)] = 5(x + -2)

Reorder the terms:
x + -2[-3 + x + -1(-8 + 3x)] = 5(x + -2)
x + -2[-3 + x + (-8 * -1 + 3x * -1)] = 5(x + -2)
x + -2[-3 + x + (8 + -3x)] = 5(x + -2)

Reorder the terms:
x + -2[-3 + 8 + x + -3x] = 5(x + -2)

Combine like terms: -3 + 8 = 5
x + -2[5 + x + -3x] = 5(x + -2)

Combine like terms: x + -3x = -2x
x + -2[5 + -2x] = 5(x + -2)
x + [5 * -2 + -2x * -2] = 5(x + -2)
x + [-10 + 4x] = 5(x + -2)

Reorder the terms:
-10 + x + 4x = 5(x + -2)

Combine like terms: x + 4x = 5x
-10 + 5x = 5(x + -2)

Reorder the terms:
-10 + 5x = 5(-2 + x)
-10 + 5x = (-2 * 5 + x * 5)
-10 + 5x = (-10 + 5x)

Add '10' to each side of the equation.
-10 + 10 + 5x = -10 + 10 + 5x

Combine like terms: -10 + 10 = 0
0 + 5x = -10 + 10 + 5x
5x = -10 + 10 + 5x

Combine like terms: -10 + 10 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 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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