(8+2)(8+2x)=10-6.5(x+3)

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Solution for (8+2)(8+2x)=10-6.5(x+3) equation:


Simplifying
(8 + 2)(8 + 2x) = 10 + -6.5(x + 3)

Combine like terms: 8 + 2 = 10
(10)(8 + 2x) = 10 + -6.5(x + 3)
(8 * 10 + 2x * 10) = 10 + -6.5(x + 3)
(80 + 20x) = 10 + -6.5(x + 3)

Reorder the terms:
80 + 20x = 10 + -6.5(3 + x)
80 + 20x = 10 + (3 * -6.5 + x * -6.5)
80 + 20x = 10 + (-19.5 + -6.5x)

Combine like terms: 10 + -19.5 = -9.5
80 + 20x = -9.5 + -6.5x

Solving
80 + 20x = -9.5 + -6.5x

Solving for variable 'x'.

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

Add '6.5x' to each side of the equation.
80 + 20x + 6.5x = -9.5 + -6.5x + 6.5x

Combine like terms: 20x + 6.5x = 26.5x
80 + 26.5x = -9.5 + -6.5x + 6.5x

Combine like terms: -6.5x + 6.5x = 0.0
80 + 26.5x = -9.5 + 0.0
80 + 26.5x = -9.5

Add '-80' to each side of the equation.
80 + -80 + 26.5x = -9.5 + -80

Combine like terms: 80 + -80 = 0
0 + 26.5x = -9.5 + -80
26.5x = -9.5 + -80

Combine like terms: -9.5 + -80 = -89.5
26.5x = -89.5

Divide each side by '26.5'.
x = -3.377358491

Simplifying
x = -3.377358491

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