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

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


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

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

Remove parenthesis around (2 + 6x)
2 + 6x + -7 = 7(x + 8)

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

Combine like terms: 2 + -7 = -5
-5 + 6x = 7(x + 8)

Reorder the terms:
-5 + 6x = 7(8 + x)
-5 + 6x = (8 * 7 + x * 7)
-5 + 6x = (56 + 7x)

Solving
-5 + 6x = 56 + 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.
-5 + 6x + -7x = 56 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-5 + -1x = 56 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -1x = 56 + 0
-5 + -1x = 56

Add '5' to each side of the equation.
-5 + 5 + -1x = 56 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 56 + 5
-1x = 56 + 5

Combine like terms: 56 + 5 = 61
-1x = 61

Divide each side by '-1'.
x = -61

Simplifying
x = -61

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