5x-2(x+1)=3(x-2)+1

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Solution for 5x-2(x+1)=3(x-2)+1 equation: 


Simplifying
5x + -2(x + 1) = 3(x + -2) + 1

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

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

Combine like terms: 5x + -2x = 3x
-2 + 3x = 3(x + -2) + 1

Reorder the terms:
-2 + 3x = 3(-2 + x) + 1
-2 + 3x = (-2 * 3 + x * 3) + 1
-2 + 3x = (-6 + 3x) + 1

Reorder the terms:
-2 + 3x = -6 + 1 + 3x

Combine like terms: -6 + 1 = -5
-2 + 3x = -5 + 3x

Add '-3x' to each side of the equation.
-2 + 3x + -3x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 0 = -5 + 3x + -3x
-2 = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 = -5 + 0
-2 = -5

Solving
-2 = -5

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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