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

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


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

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

Combine like terms: 6 + -6 = 0
0 + -6x = 7 + -7(x + 2)
-6x = 7 + -7(x + 2)

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

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

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

Combine like terms: -6x + 7x = 1x
1x = -7 + -7x + 7x

Combine like terms: -7x + 7x = 0
1x = -7 + 0
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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