3x-4(X+2)=5(X-1)

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Solution for 3x-4(X+2)=5(X-1) equation:


Simplifying
3x + -4(X + 2) = 5(X + -1)

Reorder the terms:
3x + -4(2 + X) = 5(X + -1)
3x + (2 * -4 + X * -4) = 5(X + -1)
3x + (-8 + -4X) = 5(X + -1)

Reorder the terms:
-8 + -4X + 3x = 5(X + -1)

Reorder the terms:
-8 + -4X + 3x = 5(-1 + X)
-8 + -4X + 3x = (-1 * 5 + X * 5)
-8 + -4X + 3x = (-5 + 5X)

Solving
-8 + -4X + 3x = -5 + 5X

Solving for variable 'X'.

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

Add '-5X' to each side of the equation.
-8 + -4X + -5X + 3x = -5 + 5X + -5X

Combine like terms: -4X + -5X = -9X
-8 + -9X + 3x = -5 + 5X + -5X

Combine like terms: 5X + -5X = 0
-8 + -9X + 3x = -5 + 0
-8 + -9X + 3x = -5

Add '8' to each side of the equation.
-8 + -9X + 8 + 3x = -5 + 8

Reorder the terms:
-8 + 8 + -9X + 3x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + -9X + 3x = -5 + 8
-9X + 3x = -5 + 8

Combine like terms: -5 + 8 = 3
-9X + 3x = 3

Add '-3x' to each side of the equation.
-9X + 3x + -3x = 3 + -3x

Combine like terms: 3x + -3x = 0
-9X + 0 = 3 + -3x
-9X = 3 + -3x

Divide each side by '-9'.
X = -0.3333333333 + 0.3333333333x

Simplifying
X = -0.3333333333 + 0.3333333333x

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