(2+6)(5+4x)=50-6.5(x+4)

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Solution for (2+6)(5+4x)=50-6.5(x+4) equation:


Simplifying
(2 + 6)(5 + 4x) = 50 + -6.5(x + 4)

Combine like terms: 2 + 6 = 8
(8)(5 + 4x) = 50 + -6.5(x + 4)
(5 * 8 + 4x * 8) = 50 + -6.5(x + 4)
(40 + 32x) = 50 + -6.5(x + 4)

Reorder the terms:
40 + 32x = 50 + -6.5(4 + x)
40 + 32x = 50 + (4 * -6.5 + x * -6.5)
40 + 32x = 50 + (-26 + -6.5x)

Combine like terms: 50 + -26 = 24
40 + 32x = 24 + -6.5x

Solving
40 + 32x = 24 + -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.
40 + 32x + 6.5x = 24 + -6.5x + 6.5x

Combine like terms: 32x + 6.5x = 38.5x
40 + 38.5x = 24 + -6.5x + 6.5x

Combine like terms: -6.5x + 6.5x = 0.0
40 + 38.5x = 24 + 0.0
40 + 38.5x = 24

Add '-40' to each side of the equation.
40 + -40 + 38.5x = 24 + -40

Combine like terms: 40 + -40 = 0
0 + 38.5x = 24 + -40
38.5x = 24 + -40

Combine like terms: 24 + -40 = -16
38.5x = -16

Divide each side by '38.5'.
x = -0.4155844156

Simplifying
x = -0.4155844156

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