8X-15=-7(X+6)+3

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Solution for 8X-15=-7(X+6)+3 equation:


Simplifying
8X + -15 = -7(X + 6) + 3

Reorder the terms:
-15 + 8X = -7(X + 6) + 3

Reorder the terms:
-15 + 8X = -7(6 + X) + 3
-15 + 8X = (6 * -7 + X * -7) + 3
-15 + 8X = (-42 + -7X) + 3

Reorder the terms:
-15 + 8X = -42 + 3 + -7X

Combine like terms: -42 + 3 = -39
-15 + 8X = -39 + -7X

Solving
-15 + 8X = -39 + -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.
-15 + 8X + 7X = -39 + -7X + 7X

Combine like terms: 8X + 7X = 15X
-15 + 15X = -39 + -7X + 7X

Combine like terms: -7X + 7X = 0
-15 + 15X = -39 + 0
-15 + 15X = -39

Add '15' to each side of the equation.
-15 + 15 + 15X = -39 + 15

Combine like terms: -15 + 15 = 0
0 + 15X = -39 + 15
15X = -39 + 15

Combine like terms: -39 + 15 = -24
15X = -24

Divide each side by '15'.
X = -1.6

Simplifying
X = -1.6

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