6x+1=-(x-8)

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


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

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

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

Solving
1 + 6x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + 6x + x = 8 + -1x + x

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

Combine like terms: -1x + x = 0
1 + 7x = 8 + 0
1 + 7x = 8

Add '-1' to each side of the equation.
1 + -1 + 7x = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 8 + -1
7x = 8 + -1

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

Divide each side by '7'.
x = 1

Simplifying
x = 1

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