-7(X-2)-2(X+4)=3X-1-4(2X+1)

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Solution for -7(X-2)-2(X+4)=3X-1-4(2X+1) equation:


Simplifying
-7(X + -2) + -2(X + 4) = 3X + -1 + -4(2X + 1)

Reorder the terms:
-7(-2 + X) + -2(X + 4) = 3X + -1 + -4(2X + 1)
(-2 * -7 + X * -7) + -2(X + 4) = 3X + -1 + -4(2X + 1)
(14 + -7X) + -2(X + 4) = 3X + -1 + -4(2X + 1)

Reorder the terms:
14 + -7X + -2(4 + X) = 3X + -1 + -4(2X + 1)
14 + -7X + (4 * -2 + X * -2) = 3X + -1 + -4(2X + 1)
14 + -7X + (-8 + -2X) = 3X + -1 + -4(2X + 1)

Reorder the terms:
14 + -8 + -7X + -2X = 3X + -1 + -4(2X + 1)

Combine like terms: 14 + -8 = 6
6 + -7X + -2X = 3X + -1 + -4(2X + 1)

Combine like terms: -7X + -2X = -9X
6 + -9X = 3X + -1 + -4(2X + 1)

Reorder the terms:
6 + -9X = 3X + -1 + -4(1 + 2X)
6 + -9X = 3X + -1 + (1 * -4 + 2X * -4)
6 + -9X = 3X + -1 + (-4 + -8X)

Reorder the terms:
6 + -9X = -1 + -4 + 3X + -8X

Combine like terms: -1 + -4 = -5
6 + -9X = -5 + 3X + -8X

Combine like terms: 3X + -8X = -5X
6 + -9X = -5 + -5X

Solving
6 + -9X = -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.
6 + -9X + 5X = -5 + -5X + 5X

Combine like terms: -9X + 5X = -4X
6 + -4X = -5 + -5X + 5X

Combine like terms: -5X + 5X = 0
6 + -4X = -5 + 0
6 + -4X = -5

Add '-6' to each side of the equation.
6 + -6 + -4X = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -4X = -5 + -6
-4X = -5 + -6

Combine like terms: -5 + -6 = -11
-4X = -11

Divide each side by '-4'.
X = 2.75

Simplifying
X = 2.75

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