-7x-20=8[x+2]-6

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Solution for -7x-20=8[x+2]-6 equation:


Simplifying
-7x + -20 = 8[x + 2] + -6

Reorder the terms:
-20 + -7x = 8[x + 2] + -6

Reorder the terms:
-20 + -7x = 8[2 + x] + -6
-20 + -7x = [2 * 8 + x * 8] + -6
-20 + -7x = [16 + 8x] + -6

Reorder the terms:
-20 + -7x = 16 + -6 + 8x

Combine like terms: 16 + -6 = 10
-20 + -7x = 10 + 8x

Solving
-20 + -7x = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-20 + -7x + -8x = 10 + 8x + -8x

Combine like terms: -7x + -8x = -15x
-20 + -15x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-20 + -15x = 10 + 0
-20 + -15x = 10

Add '20' to each side of the equation.
-20 + 20 + -15x = 10 + 20

Combine like terms: -20 + 20 = 0
0 + -15x = 10 + 20
-15x = 10 + 20

Combine like terms: 10 + 20 = 30
-15x = 30

Divide each side by '-15'.
x = -2

Simplifying
x = -2

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