2X-7-(3-5X)=(8+2)X-13

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Solution for 2X-7-(3-5X)=(8+2)X-13 equation: 


Simplifying
2X + -7 + -1(3 + -5X) = (8 + 2) * X + -13
2X + -7 + (3 * -1 + -5X * -1) = (8 + 2) * X + -13
2X + -7 + (-3 + 5X) = (8 + 2) * X + -13

Reorder the terms:
-7 + -3 + 2X + 5X = (8 + 2) * X + -13

Combine like terms: -7 + -3 = -10
-10 + 2X + 5X = (8 + 2) * X + -13

Combine like terms: 2X + 5X = 7X
-10 + 7X = (8 + 2) * X + -13

Combine like terms: 8 + 2 = 10
-10 + 7X = (10) * X + -13

Reorder the terms:
-10 + 7X = -13 + 10X

Solving
-10 + 7X = -13 + 10X

Solving for variable 'X'.

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

Add '-10X' to each side of the equation.
-10 + 7X + -10X = -13 + 10X + -10X

Combine like terms: 7X + -10X = -3X
-10 + -3X = -13 + 10X + -10X

Combine like terms: 10X + -10X = 0
-10 + -3X = -13 + 0
-10 + -3X = -13

Add '10' to each side of the equation.
-10 + 10 + -3X = -13 + 10

Combine like terms: -10 + 10 = 0
0 + -3X = -13 + 10
-3X = -13 + 10

Combine like terms: -13 + 10 = -3
-3X = -3

Divide each side by '-3'.
X = 1

Simplifying
X = 1

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