(3+7)(5+3x)=55-75(x+4)

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Solution for (3+7)(5+3x)=55-75(x+4) equation:


Simplifying
(3 + 7)(5 + 3x) = 55 + -75(x + 4)

Combine like terms: 3 + 7 = 10
(10)(5 + 3x) = 55 + -75(x + 4)
(5 * 10 + 3x * 10) = 55 + -75(x + 4)
(50 + 30x) = 55 + -75(x + 4)

Reorder the terms:
50 + 30x = 55 + -75(4 + x)
50 + 30x = 55 + (4 * -75 + x * -75)
50 + 30x = 55 + (-300 + -75x)

Combine like terms: 55 + -300 = -245
50 + 30x = -245 + -75x

Solving
50 + 30x = -245 + -75x

Solving for variable 'x'.

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

Add '75x' to each side of the equation.
50 + 30x + 75x = -245 + -75x + 75x

Combine like terms: 30x + 75x = 105x
50 + 105x = -245 + -75x + 75x

Combine like terms: -75x + 75x = 0
50 + 105x = -245 + 0
50 + 105x = -245

Add '-50' to each side of the equation.
50 + -50 + 105x = -245 + -50

Combine like terms: 50 + -50 = 0
0 + 105x = -245 + -50
105x = -245 + -50

Combine like terms: -245 + -50 = -295
105x = -295

Divide each side by '105'.
x = -2.80952381

Simplifying
x = -2.80952381

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