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

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


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

Reorder the terms:
2(-5 + 2x) = 3x + -1
(-5 * 2 + 2x * 2) = 3x + -1
(-10 + 4x) = 3x + -1

Reorder the terms:
-10 + 4x = -1 + 3x

Solving
-10 + 4x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 4x + -3x = -1 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-10 + 1x = -1 + 3x + -3x

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

Add '10' to each side of the equation.
-10 + 10 + 1x = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -1 + 10
1x = -1 + 10

Combine like terms: -1 + 10 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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