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

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


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

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

Reorder the terms:
-2 + 2x + 3(-2 + x) = 5x + 1
-2 + 2x + (-2 * 3 + x * 3) = 5x + 1
-2 + 2x + (-6 + 3x) = 5x + 1

Reorder the terms:
-2 + -6 + 2x + 3x = 5x + 1

Combine like terms: -2 + -6 = -8
-8 + 2x + 3x = 5x + 1

Combine like terms: 2x + 3x = 5x
-8 + 5x = 5x + 1

Reorder the terms:
-8 + 5x = 1 + 5x

Add '-5x' to each side of the equation.
-8 + 5x + -5x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 0 = 1 + 5x + -5x
-8 = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 = 1 + 0
-8 = 1

Solving
-8 = 1

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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