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

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


Simplifying
5(3 + -1X) + -4(X + 1) = -4X + 1
(3 * 5 + -1X * 5) + -4(X + 1) = -4X + 1
(15 + -5X) + -4(X + 1) = -4X + 1

Reorder the terms:
15 + -5X + -4(1 + X) = -4X + 1
15 + -5X + (1 * -4 + X * -4) = -4X + 1
15 + -5X + (-4 + -4X) = -4X + 1

Reorder the terms:
15 + -4 + -5X + -4X = -4X + 1

Combine like terms: 15 + -4 = 11
11 + -5X + -4X = -4X + 1

Combine like terms: -5X + -4X = -9X
11 + -9X = -4X + 1

Reorder the terms:
11 + -9X = 1 + -4X

Solving
11 + -9X = 1 + -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.
11 + -9X + 4X = 1 + -4X + 4X

Combine like terms: -9X + 4X = -5X
11 + -5X = 1 + -4X + 4X

Combine like terms: -4X + 4X = 0
11 + -5X = 1 + 0
11 + -5X = 1

Add '-11' to each side of the equation.
11 + -11 + -5X = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -5X = 1 + -11
-5X = 1 + -11

Combine like terms: 1 + -11 = -10
-5X = -10

Divide each side by '-5'.
X = 2

Simplifying
X = 2

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