X-5(X-2)=2-(15-7X)

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Solution for X-5(X-2)=2-(15-7X) equation:


Simplifying
X + -5(X + -2) = 2 + -1(15 + -7X)

Reorder the terms:
X + -5(-2 + X) = 2 + -1(15 + -7X)
X + (-2 * -5 + X * -5) = 2 + -1(15 + -7X)
X + (10 + -5X) = 2 + -1(15 + -7X)

Reorder the terms:
10 + X + -5X = 2 + -1(15 + -7X)

Combine like terms: X + -5X = -4X
10 + -4X = 2 + -1(15 + -7X)
10 + -4X = 2 + (15 * -1 + -7X * -1)
10 + -4X = 2 + (-15 + 7X)

Combine like terms: 2 + -15 = -13
10 + -4X = -13 + 7X

Solving
10 + -4X = -13 + 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.
10 + -4X + -7X = -13 + 7X + -7X

Combine like terms: -4X + -7X = -11X
10 + -11X = -13 + 7X + -7X

Combine like terms: 7X + -7X = 0
10 + -11X = -13 + 0
10 + -11X = -13

Add '-10' to each side of the equation.
10 + -10 + -11X = -13 + -10

Combine like terms: 10 + -10 = 0
0 + -11X = -13 + -10
-11X = -13 + -10

Combine like terms: -13 + -10 = -23
-11X = -23

Divide each side by '-11'.
X = 2.090909091

Simplifying
X = 2.090909091

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