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

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


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

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

Remove parenthesis around (-1 + 7x)
-1 + 7x + 7 = 8(x + 6)

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

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

Reorder the terms:
6 + 7x = 8(6 + x)
6 + 7x = (6 * 8 + x * 8)
6 + 7x = (48 + 8x)

Solving
6 + 7x = 48 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 7x + -8x = 48 + 8x + -8x

Combine like terms: 7x + -8x = -1x
6 + -1x = 48 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -1x = 48 + 0
6 + -1x = 48

Add '-6' to each side of the equation.
6 + -6 + -1x = 48 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 48 + -6
-1x = 48 + -6

Combine like terms: 48 + -6 = 42
-1x = 42

Divide each side by '-1'.
x = -42

Simplifying
x = -42

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