(-8x+7)-(2x-4)=-21x-121

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Solution for (-8x+7)-(2x-4)=-21x-121 equation:


Simplifying
(-8x + 7) + -1(2x + -4) = -21x + -121

Reorder the terms:
(7 + -8x) + -1(2x + -4) = -21x + -121

Remove parenthesis around (7 + -8x)
7 + -8x + -1(2x + -4) = -21x + -121

Reorder the terms:
7 + -8x + -1(-4 + 2x) = -21x + -121
7 + -8x + (-4 * -1 + 2x * -1) = -21x + -121
7 + -8x + (4 + -2x) = -21x + -121

Reorder the terms:
7 + 4 + -8x + -2x = -21x + -121

Combine like terms: 7 + 4 = 11
11 + -8x + -2x = -21x + -121

Combine like terms: -8x + -2x = -10x
11 + -10x = -21x + -121

Reorder the terms:
11 + -10x = -121 + -21x

Solving
11 + -10x = -121 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
11 + -10x + 21x = -121 + -21x + 21x

Combine like terms: -10x + 21x = 11x
11 + 11x = -121 + -21x + 21x

Combine like terms: -21x + 21x = 0
11 + 11x = -121 + 0
11 + 11x = -121

Add '-11' to each side of the equation.
11 + -11 + 11x = -121 + -11

Combine like terms: 11 + -11 = 0
0 + 11x = -121 + -11
11x = -121 + -11

Combine like terms: -121 + -11 = -132
11x = -132

Divide each side by '11'.
x = -12

Simplifying
x = -12

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