(4+3)(3+6x)=30-3.5(x+2)

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Solution for (4+3)(3+6x)=30-3.5(x+2) equation: 


Simplifying
(4 + 3)(3 + 6x) = 30 + -3.5(x + 2)

Combine like terms: 4 + 3 = 7
(7)(3 + 6x) = 30 + -3.5(x + 2)
(3 * 7 + 6x * 7) = 30 + -3.5(x + 2)
(21 + 42x) = 30 + -3.5(x + 2)

Reorder the terms:
21 + 42x = 30 + -3.5(2 + x)
21 + 42x = 30 + (2 * -3.5 + x * -3.5)
21 + 42x = 30 + (-7 + -3.5x)

Combine like terms: 30 + -7 = 23
21 + 42x = 23 + -3.5x

Solving
21 + 42x = 23 + -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.
21 + 42x + 3.5x = 23 + -3.5x + 3.5x

Combine like terms: 42x + 3.5x = 45.5x
21 + 45.5x = 23 + -3.5x + 3.5x

Combine like terms: -3.5x + 3.5x = 0.0
21 + 45.5x = 23 + 0.0
21 + 45.5x = 23

Add '-21' to each side of the equation.
21 + -21 + 45.5x = 23 + -21

Combine like terms: 21 + -21 = 0
0 + 45.5x = 23 + -21
45.5x = 23 + -21

Combine like terms: 23 + -21 = 2
45.5x = 2

Divide each side by '45.5'.
x = 0.04395604396

Simplifying
x = 0.04395604396

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