3X-5(X-4)=-6+2X+10

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Solution for 3X-5(X-4)=-6+2X+10 equation: 


Simplifying
3X + -5(X + -4) = -6 + 2X + 10

Reorder the terms:
3X + -5(-4 + X) = -6 + 2X + 10
3X + (-4 * -5 + X * -5) = -6 + 2X + 10
3X + (20 + -5X) = -6 + 2X + 10

Reorder the terms:
20 + 3X + -5X = -6 + 2X + 10

Combine like terms: 3X + -5X = -2X
20 + -2X = -6 + 2X + 10

Reorder the terms:
20 + -2X = -6 + 10 + 2X

Combine like terms: -6 + 10 = 4
20 + -2X = 4 + 2X

Solving
20 + -2X = 4 + 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.
20 + -2X + -2X = 4 + 2X + -2X

Combine like terms: -2X + -2X = -4X
20 + -4X = 4 + 2X + -2X

Combine like terms: 2X + -2X = 0
20 + -4X = 4 + 0
20 + -4X = 4

Add '-20' to each side of the equation.
20 + -20 + -4X = 4 + -20

Combine like terms: 20 + -20 = 0
0 + -4X = 4 + -20
-4X = 4 + -20

Combine like terms: 4 + -20 = -16
-4X = -16

Divide each side by '-4'.
X = 4

Simplifying
X = 4

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