3(x-3)-6=-7(x+5)

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Solution for 3(x-3)-6=-7(x+5) equation:


Simplifying
3(x + -3) + -6 = -7(x + 5)

Reorder the terms:
3(-3 + x) + -6 = -7(x + 5)
(-3 * 3 + x * 3) + -6 = -7(x + 5)
(-9 + 3x) + -6 = -7(x + 5)

Reorder the terms:
-9 + -6 + 3x = -7(x + 5)

Combine like terms: -9 + -6 = -15
-15 + 3x = -7(x + 5)

Reorder the terms:
-15 + 3x = -7(5 + x)
-15 + 3x = (5 * -7 + x * -7)
-15 + 3x = (-35 + -7x)

Solving
-15 + 3x = -35 + -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 + 3x + 7x = -35 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-15 + 10x = -35 + -7x + 7x

Combine like terms: -7x + 7x = 0
-15 + 10x = -35 + 0
-15 + 10x = -35

Add '15' to each side of the equation.
-15 + 15 + 10x = -35 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = -35 + 15
10x = -35 + 15

Combine like terms: -35 + 15 = -20
10x = -20

Divide each side by '10'.
x = -2

Simplifying
x = -2

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