5X-(X-2)=2X-(-3)

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Solution for 5X-(X-2)=2X-(-3) equation:


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

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

Reorder the terms:
2 + 5X + -1X = 2X + -1(-3)

Combine like terms: 5X + -1X = 4X
2 + 4X = 2X + -1(-3)

Multiply -1 * -3
2 + 4X = 2X + 3

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

Solving
2 + 4X = 3 + 2X

Solving for variable 'X'.

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

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

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

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

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

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

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

Divide each side by '2'.
X = 0.5

Simplifying
X = 0.5

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