8x-7(-x-7)=6x+40

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Solution for 8x-7(-x-7)=6x+40 equation:


Simplifying
8x + -7(-1x + -7) = 6x + 40

Reorder the terms:
8x + -7(-7 + -1x) = 6x + 40
8x + (-7 * -7 + -1x * -7) = 6x + 40
8x + (49 + 7x) = 6x + 40

Reorder the terms:
49 + 8x + 7x = 6x + 40

Combine like terms: 8x + 7x = 15x
49 + 15x = 6x + 40

Reorder the terms:
49 + 15x = 40 + 6x

Solving
49 + 15x = 40 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
49 + 15x + -6x = 40 + 6x + -6x

Combine like terms: 15x + -6x = 9x
49 + 9x = 40 + 6x + -6x

Combine like terms: 6x + -6x = 0
49 + 9x = 40 + 0
49 + 9x = 40

Add '-49' to each side of the equation.
49 + -49 + 9x = 40 + -49

Combine like terms: 49 + -49 = 0
0 + 9x = 40 + -49
9x = 40 + -49

Combine like terms: 40 + -49 = -9
9x = -9

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

Simplifying
x = -1

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