(5+7)(5+2x)=35-6.5(x+4)

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Solution for (5+7)(5+2x)=35-6.5(x+4) equation:


Simplifying
(5 + 7)(5 + 2x) = 35 + -6.5(x + 4)

Combine like terms: 5 + 7 = 12
(12)(5 + 2x) = 35 + -6.5(x + 4)
(5 * 12 + 2x * 12) = 35 + -6.5(x + 4)
(60 + 24x) = 35 + -6.5(x + 4)

Reorder the terms:
60 + 24x = 35 + -6.5(4 + x)
60 + 24x = 35 + (4 * -6.5 + x * -6.5)
60 + 24x = 35 + (-26 + -6.5x)

Combine like terms: 35 + -26 = 9
60 + 24x = 9 + -6.5x

Solving
60 + 24x = 9 + -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.
60 + 24x + 6.5x = 9 + -6.5x + 6.5x

Combine like terms: 24x + 6.5x = 30.5x
60 + 30.5x = 9 + -6.5x + 6.5x

Combine like terms: -6.5x + 6.5x = 0.0
60 + 30.5x = 9 + 0.0
60 + 30.5x = 9

Add '-60' to each side of the equation.
60 + -60 + 30.5x = 9 + -60

Combine like terms: 60 + -60 = 0
0 + 30.5x = 9 + -60
30.5x = 9 + -60

Combine like terms: 9 + -60 = -51
30.5x = -51

Divide each side by '30.5'.
x = -1.672131148

Simplifying
x = -1.672131148

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