-6(x+1)=7x-7(-2x-3)

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Solution for -6(x+1)=7x-7(-2x-3) equation:


Simplifying
-6(x + 1) = 7x + -7(-2x + -3)

Reorder the terms:
-6(1 + x) = 7x + -7(-2x + -3)
(1 * -6 + x * -6) = 7x + -7(-2x + -3)
(-6 + -6x) = 7x + -7(-2x + -3)

Reorder the terms:
-6 + -6x = 7x + -7(-3 + -2x)
-6 + -6x = 7x + (-3 * -7 + -2x * -7)
-6 + -6x = 7x + (21 + 14x)

Reorder the terms:
-6 + -6x = 21 + 7x + 14x

Combine like terms: 7x + 14x = 21x
-6 + -6x = 21 + 21x

Solving
-6 + -6x = 21 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-6 + -6x + -21x = 21 + 21x + -21x

Combine like terms: -6x + -21x = -27x
-6 + -27x = 21 + 21x + -21x

Combine like terms: 21x + -21x = 0
-6 + -27x = 21 + 0
-6 + -27x = 21

Add '6' to each side of the equation.
-6 + 6 + -27x = 21 + 6

Combine like terms: -6 + 6 = 0
0 + -27x = 21 + 6
-27x = 21 + 6

Combine like terms: 21 + 6 = 27
-27x = 27

Divide each side by '-27'.
x = -1

Simplifying
x = -1

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