5x-7=-6(x+4)

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Solution for 5x-7=-6(x+4) equation:


Simplifying
5x + -7 = -6(x + 4)

Reorder the terms:
-7 + 5x = -6(x + 4)

Reorder the terms:
-7 + 5x = -6(4 + x)
-7 + 5x = (4 * -6 + x * -6)
-7 + 5x = (-24 + -6x)

Solving
-7 + 5x = -24 + -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.
-7 + 5x + 6x = -24 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-7 + 11x = -24 + -6x + 6x

Combine like terms: -6x + 6x = 0
-7 + 11x = -24 + 0
-7 + 11x = -24

Add '7' to each side of the equation.
-7 + 7 + 11x = -24 + 7

Combine like terms: -7 + 7 = 0
0 + 11x = -24 + 7
11x = -24 + 7

Combine like terms: -24 + 7 = -17
11x = -17

Divide each side by '11'.
x = -1.545454545

Simplifying
x = -1.545454545

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