(5+2)(4+4x)=40-3.5(x+3)

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Solution for (5+2)(4+4x)=40-3.5(x+3) equation: 


Simplifying
(5 + 2)(4 + 4x) = 40 + -3.5(x + 3)

Combine like terms: 5 + 2 = 7
(7)(4 + 4x) = 40 + -3.5(x + 3)
(4 * 7 + 4x * 7) = 40 + -3.5(x + 3)
(28 + 28x) = 40 + -3.5(x + 3)

Reorder the terms:
28 + 28x = 40 + -3.5(3 + x)
28 + 28x = 40 + (3 * -3.5 + x * -3.5)
28 + 28x = 40 + (-10.5 + -3.5x)

Combine like terms: 40 + -10.5 = 29.5
28 + 28x = 29.5 + -3.5x

Solving
28 + 28x = 29.5 + -3.5x

Solving for variable 'x'.

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

Add '3.5x' to each side of the equation.
28 + 28x + 3.5x = 29.5 + -3.5x + 3.5x

Combine like terms: 28x + 3.5x = 31.5x
28 + 31.5x = 29.5 + -3.5x + 3.5x

Combine like terms: -3.5x + 3.5x = 0.0
28 + 31.5x = 29.5 + 0.0
28 + 31.5x = 29.5

Add '-28' to each side of the equation.
28 + -28 + 31.5x = 29.5 + -28

Combine like terms: 28 + -28 = 0
0 + 31.5x = 29.5 + -28
31.5x = 29.5 + -28

Combine like terms: 29.5 + -28 = 1.5
31.5x = 1.5

Divide each side by '31.5'.
x = 0.04761904762

Simplifying
x = 0.04761904762

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