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

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


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

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

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

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

Solving
2 + -1x = 1

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 1 + -2
-1x = 1 + -2

Combine like terms: 1 + -2 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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