4(X-4)-3(3X+6)=5(X+1)

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Solution for 4(X-4)-3(3X+6)=5(X+1) equation:


Simplifying
4(X + -4) + -3(3X + 6) = 5(X + 1)

Reorder the terms:
4(-4 + X) + -3(3X + 6) = 5(X + 1)
(-4 * 4 + X * 4) + -3(3X + 6) = 5(X + 1)
(-16 + 4X) + -3(3X + 6) = 5(X + 1)

Reorder the terms:
-16 + 4X + -3(6 + 3X) = 5(X + 1)
-16 + 4X + (6 * -3 + 3X * -3) = 5(X + 1)
-16 + 4X + (-18 + -9X) = 5(X + 1)

Reorder the terms:
-16 + -18 + 4X + -9X = 5(X + 1)

Combine like terms: -16 + -18 = -34
-34 + 4X + -9X = 5(X + 1)

Combine like terms: 4X + -9X = -5X
-34 + -5X = 5(X + 1)

Reorder the terms:
-34 + -5X = 5(1 + X)
-34 + -5X = (1 * 5 + X * 5)
-34 + -5X = (5 + 5X)

Solving
-34 + -5X = 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.
-34 + -5X + -5X = 5 + 5X + -5X

Combine like terms: -5X + -5X = -10X
-34 + -10X = 5 + 5X + -5X

Combine like terms: 5X + -5X = 0
-34 + -10X = 5 + 0
-34 + -10X = 5

Add '34' to each side of the equation.
-34 + 34 + -10X = 5 + 34

Combine like terms: -34 + 34 = 0
0 + -10X = 5 + 34
-10X = 5 + 34

Combine like terms: 5 + 34 = 39
-10X = 39

Divide each side by '-10'.
X = -3.9

Simplifying
X = -3.9

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