(x)(8)+(20)(4)=(x-20)(6)

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Solution for (x)(8)+(20)(4)=(x-20)(6) equation:


Simplifying
(x)(8) + (20)(4) = (x + -20)(6)

Reorder the terms for easier multiplication:
8x + (20)(4) = (x + -20)(6)

Multiply 20 * 4
8x + 80 = (x + -20)(6)

Reorder the terms:
80 + 8x = (x + -20)(6)

Reorder the terms:
80 + 8x = (-20 + x)(6)

Reorder the terms for easier multiplication:
80 + 8x = 6(-20 + x)
80 + 8x = (-20 * 6 + x * 6)
80 + 8x = (-120 + 6x)

Solving
80 + 8x = -120 + 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.
80 + 8x + -6x = -120 + 6x + -6x

Combine like terms: 8x + -6x = 2x
80 + 2x = -120 + 6x + -6x

Combine like terms: 6x + -6x = 0
80 + 2x = -120 + 0
80 + 2x = -120

Add '-80' to each side of the equation.
80 + -80 + 2x = -120 + -80

Combine like terms: 80 + -80 = 0
0 + 2x = -120 + -80
2x = -120 + -80

Combine like terms: -120 + -80 = -200
2x = -200

Divide each side by '2'.
x = -100

Simplifying
x = -100

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