x(x+35)-50=x(4+x)-2(x+14)

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Solution for x(x+35)-50=x(4+x)-2(x+14) equation:


Simplifying
x(x + 35) + -50 = x(4 + x) + -2(x + 14)

Reorder the terms:
x(35 + x) + -50 = x(4 + x) + -2(x + 14)
(35 * x + x * x) + -50 = x(4 + x) + -2(x + 14)
(35x + x2) + -50 = x(4 + x) + -2(x + 14)

Reorder the terms:
-50 + 35x + x2 = x(4 + x) + -2(x + 14)
-50 + 35x + x2 = (4 * x + x * x) + -2(x + 14)
-50 + 35x + x2 = (4x + x2) + -2(x + 14)

Reorder the terms:
-50 + 35x + x2 = 4x + x2 + -2(14 + x)
-50 + 35x + x2 = 4x + x2 + (14 * -2 + x * -2)
-50 + 35x + x2 = 4x + x2 + (-28 + -2x)

Reorder the terms:
-50 + 35x + x2 = -28 + 4x + -2x + x2

Combine like terms: 4x + -2x = 2x
-50 + 35x + x2 = -28 + 2x + x2

Add '-1x2' to each side of the equation.
-50 + 35x + x2 + -1x2 = -28 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-50 + 35x + 0 = -28 + 2x + x2 + -1x2
-50 + 35x = -28 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-50 + 35x = -28 + 2x + 0
-50 + 35x = -28 + 2x

Solving
-50 + 35x = -28 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-50 + 35x + -2x = -28 + 2x + -2x

Combine like terms: 35x + -2x = 33x
-50 + 33x = -28 + 2x + -2x

Combine like terms: 2x + -2x = 0
-50 + 33x = -28 + 0
-50 + 33x = -28

Add '50' to each side of the equation.
-50 + 50 + 33x = -28 + 50

Combine like terms: -50 + 50 = 0
0 + 33x = -28 + 50
33x = -28 + 50

Combine like terms: -28 + 50 = 22
33x = 22

Divide each side by '33'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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