2X-(X-4)=4X+1

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Solution for 2X-(X-4)=4X+1 equation:


Simplifying
2X + -1(X + -4) = 4X + 1

Reorder the terms:
2X + -1(-4 + X) = 4X + 1
2X + (-4 * -1 + X * -1) = 4X + 1
2X + (4 + -1X) = 4X + 1

Reorder the terms:
4 + 2X + -1X = 4X + 1

Combine like terms: 2X + -1X = 1X
4 + 1X = 4X + 1

Reorder the terms:
4 + 1X = 1 + 4X

Solving
4 + 1X = 1 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
4 + 1X + -4X = 1 + 4X + -4X

Combine like terms: 1X + -4X = -3X
4 + -3X = 1 + 4X + -4X

Combine like terms: 4X + -4X = 0
4 + -3X = 1 + 0
4 + -3X = 1

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

Combine like terms: 4 + -4 = 0
0 + -3X = 1 + -4
-3X = 1 + -4

Combine like terms: 1 + -4 = -3
-3X = -3

Divide each side by '-3'.
X = 1

Simplifying
X = 1

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