5(X-4)=-4(X+1)+14

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Solution for 5(X-4)=-4(X+1)+14 equation:


Simplifying
5(X + -4) = -4(X + 1) + 14

Reorder the terms:
5(-4 + X) = -4(X + 1) + 14
(-4 * 5 + X * 5) = -4(X + 1) + 14
(-20 + 5X) = -4(X + 1) + 14

Reorder the terms:
-20 + 5X = -4(1 + X) + 14
-20 + 5X = (1 * -4 + X * -4) + 14
-20 + 5X = (-4 + -4X) + 14

Reorder the terms:
-20 + 5X = -4 + 14 + -4X

Combine like terms: -4 + 14 = 10
-20 + 5X = 10 + -4X

Solving
-20 + 5X = 10 + -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.
-20 + 5X + 4X = 10 + -4X + 4X

Combine like terms: 5X + 4X = 9X
-20 + 9X = 10 + -4X + 4X

Combine like terms: -4X + 4X = 0
-20 + 9X = 10 + 0
-20 + 9X = 10

Add '20' to each side of the equation.
-20 + 20 + 9X = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 9X = 10 + 20
9X = 10 + 20

Combine like terms: 10 + 20 = 30
9X = 30

Divide each side by '9'.
X = 3.333333333

Simplifying
X = 3.333333333

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