47-x(3x+4)=2(17-2x)-62

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Solution for 47-x(3x+4)=2(17-2x)-62 equation: 


Simplifying
47 + -1x(3x + 4) = 2(17 + -2x) + -62

Reorder the terms:
47 + -1x(4 + 3x) = 2(17 + -2x) + -62
47 + (4 * -1x + 3x * -1x) = 2(17 + -2x) + -62
47 + (-4x + -3x2) = 2(17 + -2x) + -62
47 + -4x + -3x2 = (17 * 2 + -2x * 2) + -62
47 + -4x + -3x2 = (34 + -4x) + -62

Reorder the terms:
47 + -4x + -3x2 = 34 + -62 + -4x

Combine like terms: 34 + -62 = -28
47 + -4x + -3x2 = -28 + -4x

Add '4x' to each side of the equation.
47 + -4x + 4x + -3x2 = -28 + -4x + 4x

Combine like terms: -4x + 4x = 0
47 + 0 + -3x2 = -28 + -4x + 4x
47 + -3x2 = -28 + -4x + 4x

Combine like terms: -4x + 4x = 0
47 + -3x2 = -28 + 0
47 + -3x2 = -28

Solving
47 + -3x2 = -28

Solving for variable 'x'.

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

Add '-47' to each side of the equation.
47 + -47 + -3x2 = -28 + -47

Combine like terms: 47 + -47 = 0
0 + -3x2 = -28 + -47
-3x2 = -28 + -47

Combine like terms: -28 + -47 = -75
-3x2 = -75

Divide each side by '-3'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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