3x-6=-7(x+4)

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Solution for 3x-6=-7(x+4) equation:


Simplifying
3x + -6 = -7(x + 4)

Reorder the terms:
-6 + 3x = -7(x + 4)

Reorder the terms:
-6 + 3x = -7(4 + x)
-6 + 3x = (4 * -7 + x * -7)
-6 + 3x = (-28 + -7x)

Solving
-6 + 3x = -28 + -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.
-6 + 3x + 7x = -28 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-6 + 10x = -28 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 10x = -28 + 0
-6 + 10x = -28

Add '6' to each side of the equation.
-6 + 6 + 10x = -28 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = -28 + 6
10x = -28 + 6

Combine like terms: -28 + 6 = -22
10x = -22

Divide each side by '10'.
x = -2.2

Simplifying
x = -2.2

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