5-7(7+2x)=-6(x-6)

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Solution for 5-7(7+2x)=-6(x-6) equation:


Simplifying
5 + -7(7 + 2x) = -6(x + -6)
5 + (7 * -7 + 2x * -7) = -6(x + -6)
5 + (-49 + -14x) = -6(x + -6)

Combine like terms: 5 + -49 = -44
-44 + -14x = -6(x + -6)

Reorder the terms:
-44 + -14x = -6(-6 + x)
-44 + -14x = (-6 * -6 + x * -6)
-44 + -14x = (36 + -6x)

Solving
-44 + -14x = 36 + -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.
-44 + -14x + 6x = 36 + -6x + 6x

Combine like terms: -14x + 6x = -8x
-44 + -8x = 36 + -6x + 6x

Combine like terms: -6x + 6x = 0
-44 + -8x = 36 + 0
-44 + -8x = 36

Add '44' to each side of the equation.
-44 + 44 + -8x = 36 + 44

Combine like terms: -44 + 44 = 0
0 + -8x = 36 + 44
-8x = 36 + 44

Combine like terms: 36 + 44 = 80
-8x = 80

Divide each side by '-8'.
x = -10

Simplifying
x = -10

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