(4+6)(3+6x)=45-3.5(x+2)

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Solution for (4+6)(3+6x)=45-3.5(x+2) equation: 


Simplifying
(4 + 6)(3 + 6x) = 45 + -3.5(x + 2)

Combine like terms: 4 + 6 = 10
(10)(3 + 6x) = 45 + -3.5(x + 2)
(3 * 10 + 6x * 10) = 45 + -3.5(x + 2)
(30 + 60x) = 45 + -3.5(x + 2)

Reorder the terms:
30 + 60x = 45 + -3.5(2 + x)
30 + 60x = 45 + (2 * -3.5 + x * -3.5)
30 + 60x = 45 + (-7 + -3.5x)

Combine like terms: 45 + -7 = 38
30 + 60x = 38 + -3.5x

Solving
30 + 60x = 38 + -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.
30 + 60x + 3.5x = 38 + -3.5x + 3.5x

Combine like terms: 60x + 3.5x = 63.5x
30 + 63.5x = 38 + -3.5x + 3.5x

Combine like terms: -3.5x + 3.5x = 0.0
30 + 63.5x = 38 + 0.0
30 + 63.5x = 38

Add '-30' to each side of the equation.
30 + -30 + 63.5x = 38 + -30

Combine like terms: 30 + -30 = 0
0 + 63.5x = 38 + -30
63.5x = 38 + -30

Combine like terms: 38 + -30 = 8
63.5x = 8

Divide each side by '63.5'.
x = 0.125984252

Simplifying
x = 0.125984252

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