7X-(3X+5)=2X-39

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Solution for 7X-(3X+5)=2X-39 equation:


Simplifying
7X + -1(3X + 5) = 2X + -39

Reorder the terms:
7X + -1(5 + 3X) = 2X + -39
7X + (5 * -1 + 3X * -1) = 2X + -39
7X + (-5 + -3X) = 2X + -39

Reorder the terms:
-5 + 7X + -3X = 2X + -39

Combine like terms: 7X + -3X = 4X
-5 + 4X = 2X + -39

Reorder the terms:
-5 + 4X = -39 + 2X

Solving
-5 + 4X = -39 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
-5 + 4X + -2X = -39 + 2X + -2X

Combine like terms: 4X + -2X = 2X
-5 + 2X = -39 + 2X + -2X

Combine like terms: 2X + -2X = 0
-5 + 2X = -39 + 0
-5 + 2X = -39

Add '5' to each side of the equation.
-5 + 5 + 2X = -39 + 5

Combine like terms: -5 + 5 = 0
0 + 2X = -39 + 5
2X = -39 + 5

Combine like terms: -39 + 5 = -34
2X = -34

Divide each side by '2'.
X = -17

Simplifying
X = -17

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