6-(2x+8)=7(x+1)

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Solution for 6-(2x+8)=7(x+1) equation:


Simplifying
6 + -1(2x + 8) = 7(x + 1)

Reorder the terms:
6 + -1(8 + 2x) = 7(x + 1)
6 + (8 * -1 + 2x * -1) = 7(x + 1)
6 + (-8 + -2x) = 7(x + 1)

Combine like terms: 6 + -8 = -2
-2 + -2x = 7(x + 1)

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

Solving
-2 + -2x = 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.
-2 + -2x + -7x = 7 + 7x + -7x

Combine like terms: -2x + -7x = -9x
-2 + -9x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -9x = 7 + 0
-2 + -9x = 7

Add '2' to each side of the equation.
-2 + 2 + -9x = 7 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = 7 + 2
-9x = 7 + 2

Combine like terms: 7 + 2 = 9
-9x = 9

Divide each side by '-9'.
x = -1

Simplifying
x = -1

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