2(x-5)-(3x-1)=0

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Solution for 2(x-5)-(3x-1)=0 equation:


Simplifying
2(x + -5) + -1(3x + -1) = 0

Reorder the terms:
2(-5 + x) + -1(3x + -1) = 0
(-5 * 2 + x * 2) + -1(3x + -1) = 0
(-10 + 2x) + -1(3x + -1) = 0

Reorder the terms:
-10 + 2x + -1(-1 + 3x) = 0
-10 + 2x + (-1 * -1 + 3x * -1) = 0
-10 + 2x + (1 + -3x) = 0

Reorder the terms:
-10 + 1 + 2x + -3x = 0

Combine like terms: -10 + 1 = -9
-9 + 2x + -3x = 0

Combine like terms: 2x + -3x = -1x
-9 + -1x = 0

Solving
-9 + -1x = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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