4(X-1)+2=2X-(X-3)

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Solution for 4(X-1)+2=2X-(X-3) equation:


Simplifying
4(X + -1) + 2 = 2X + -1(X + -3)

Reorder the terms:
4(-1 + X) + 2 = 2X + -1(X + -3)
(-1 * 4 + X * 4) + 2 = 2X + -1(X + -3)
(-4 + 4X) + 2 = 2X + -1(X + -3)

Reorder the terms:
-4 + 2 + 4X = 2X + -1(X + -3)

Combine like terms: -4 + 2 = -2
-2 + 4X = 2X + -1(X + -3)

Reorder the terms:
-2 + 4X = 2X + -1(-3 + X)
-2 + 4X = 2X + (-3 * -1 + X * -1)
-2 + 4X = 2X + (3 + -1X)

Reorder the terms:
-2 + 4X = 3 + 2X + -1X

Combine like terms: 2X + -1X = 1X
-2 + 4X = 3 + 1X

Solving
-2 + 4X = 3 + 1X

Solving for variable 'X'.

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

Add '-1X' to each side of the equation.
-2 + 4X + -1X = 3 + 1X + -1X

Combine like terms: 4X + -1X = 3X
-2 + 3X = 3 + 1X + -1X

Combine like terms: 1X + -1X = 0
-2 + 3X = 3 + 0
-2 + 3X = 3

Add '2' to each side of the equation.
-2 + 2 + 3X = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 3X = 3 + 2
3X = 3 + 2

Combine like terms: 3 + 2 = 5
3X = 5

Divide each side by '3'.
X = 1.666666667

Simplifying
X = 1.666666667

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