x(x+3)+34=(x+5)(x+2)

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Solution for x(x+3)+34=(x+5)(x+2) equation: 


Simplifying
x(x + 3) + 34 = (x + 5)(x + 2)

Reorder the terms:
x(3 + x) + 34 = (x + 5)(x + 2)
(3 * x + x * x) + 34 = (x + 5)(x + 2)
(3x + x2) + 34 = (x + 5)(x + 2)

Reorder the terms:
34 + 3x + x2 = (x + 5)(x + 2)

Reorder the terms:
34 + 3x + x2 = (5 + x)(x + 2)

Reorder the terms:
34 + 3x + x2 = (5 + x)(2 + x)

Multiply (5 + x) * (2 + x)
34 + 3x + x2 = (5(2 + x) + x(2 + x))
34 + 3x + x2 = ((2 * 5 + x * 5) + x(2 + x))
34 + 3x + x2 = ((10 + 5x) + x(2 + x))
34 + 3x + x2 = (10 + 5x + (2 * x + x * x))
34 + 3x + x2 = (10 + 5x + (2x + x2))

Combine like terms: 5x + 2x = 7x
34 + 3x + x2 = (10 + 7x + x2)

Add '-1x2' to each side of the equation.
34 + 3x + x2 + -1x2 = 10 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
34 + 3x + 0 = 10 + 7x + x2 + -1x2
34 + 3x = 10 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
34 + 3x = 10 + 7x + 0
34 + 3x = 10 + 7x

Solving
34 + 3x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
34 + 3x + -7x = 10 + 7x + -7x

Combine like terms: 3x + -7x = -4x
34 + -4x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
34 + -4x = 10 + 0
34 + -4x = 10

Add '-34' to each side of the equation.
34 + -34 + -4x = 10 + -34

Combine like terms: 34 + -34 = 0
0 + -4x = 10 + -34
-4x = 10 + -34

Combine like terms: 10 + -34 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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