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

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


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

Reorder the terms:
-7x + -6(4 + x) = -3(7 + 4x)
-7x + (4 * -6 + x * -6) = -3(7 + 4x)
-7x + (-24 + -6x) = -3(7 + 4x)

Reorder the terms:
-24 + -7x + -6x = -3(7 + 4x)

Combine like terms: -7x + -6x = -13x
-24 + -13x = -3(7 + 4x)
-24 + -13x = (7 * -3 + 4x * -3)
-24 + -13x = (-21 + -12x)

Solving
-24 + -13x = -21 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-24 + -13x + 12x = -21 + -12x + 12x

Combine like terms: -13x + 12x = -1x
-24 + -1x = -21 + -12x + 12x

Combine like terms: -12x + 12x = 0
-24 + -1x = -21 + 0
-24 + -1x = -21

Add '24' to each side of the equation.
-24 + 24 + -1x = -21 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = -21 + 24
-1x = -21 + 24

Combine like terms: -21 + 24 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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