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

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


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

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

Reorder the terms:
8 + -7x = 7(-1 + -6x)
8 + -7x = (-1 * 7 + -6x * 7)
8 + -7x = (-7 + -42x)

Solving
8 + -7x = -7 + -42x

Solving for variable 'x'.

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

Add '42x' to each side of the equation.
8 + -7x + 42x = -7 + -42x + 42x

Combine like terms: -7x + 42x = 35x
8 + 35x = -7 + -42x + 42x

Combine like terms: -42x + 42x = 0
8 + 35x = -7 + 0
8 + 35x = -7

Add '-8' to each side of the equation.
8 + -8 + 35x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + 35x = -7 + -8
35x = -7 + -8

Combine like terms: -7 + -8 = -15
35x = -15

Divide each side by '35'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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