3X-5(X-1)=-7(X+3)-20

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Solution for 3X-5(X-1)=-7(X+3)-20 equation:


Simplifying
3X + -5(X + -1) = -7(X + 3) + -20

Reorder the terms:
3X + -5(-1 + X) = -7(X + 3) + -20
3X + (-1 * -5 + X * -5) = -7(X + 3) + -20
3X + (5 + -5X) = -7(X + 3) + -20

Reorder the terms:
5 + 3X + -5X = -7(X + 3) + -20

Combine like terms: 3X + -5X = -2X
5 + -2X = -7(X + 3) + -20

Reorder the terms:
5 + -2X = -7(3 + X) + -20
5 + -2X = (3 * -7 + X * -7) + -20
5 + -2X = (-21 + -7X) + -20

Reorder the terms:
5 + -2X = -21 + -20 + -7X

Combine like terms: -21 + -20 = -41
5 + -2X = -41 + -7X

Solving
5 + -2X = -41 + -7X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '7X' to each side of the equation.
5 + -2X + 7X = -41 + -7X + 7X

Combine like terms: -2X + 7X = 5X
5 + 5X = -41 + -7X + 7X

Combine like terms: -7X + 7X = 0
5 + 5X = -41 + 0
5 + 5X = -41

Add '-5' to each side of the equation.
5 + -5 + 5X = -41 + -5

Combine like terms: 5 + -5 = 0
0 + 5X = -41 + -5
5X = -41 + -5

Combine like terms: -41 + -5 = -46
5X = -46

Divide each side by '5'.
X = -9.2

Simplifying
X = -9.2

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