X-5(X-3)=10-(6X+3)

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Solution for X-5(X-3)=10-(6X+3) equation: 


Simplifying
X + -5(X + -3) = 10 + -1(6X + 3)

Reorder the terms:
X + -5(-3 + X) = 10 + -1(6X + 3)
X + (-3 * -5 + X * -5) = 10 + -1(6X + 3)
X + (15 + -5X) = 10 + -1(6X + 3)

Reorder the terms:
15 + X + -5X = 10 + -1(6X + 3)

Combine like terms: X + -5X = -4X
15 + -4X = 10 + -1(6X + 3)

Reorder the terms:
15 + -4X = 10 + -1(3 + 6X)
15 + -4X = 10 + (3 * -1 + 6X * -1)
15 + -4X = 10 + (-3 + -6X)

Combine like terms: 10 + -3 = 7
15 + -4X = 7 + -6X

Solving
15 + -4X = 7 + -6X

Solving for variable 'X'.

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

Add '6X' to each side of the equation.
15 + -4X + 6X = 7 + -6X + 6X

Combine like terms: -4X + 6X = 2X
15 + 2X = 7 + -6X + 6X

Combine like terms: -6X + 6X = 0
15 + 2X = 7 + 0
15 + 2X = 7

Add '-15' to each side of the equation.
15 + -15 + 2X = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 2X = 7 + -15
2X = 7 + -15

Combine like terms: 7 + -15 = -8
2X = -8

Divide each side by '2'.
X = -4

Simplifying
X = -4

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