(x+2)(3-x)=(5+x)(7-x)+2(x+29)

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Solution for (x+2)(3-x)=(5+x)(7-x)+2(x+29) equation: 


Simplifying
(x + 2)(3 + -1x) = (5 + x)(7 + -1x) + 2(x + 29)

Reorder the terms:
(2 + x)(3 + -1x) = (5 + x)(7 + -1x) + 2(x + 29)

Multiply (2 + x) * (3 + -1x)
(2(3 + -1x) + x(3 + -1x)) = (5 + x)(7 + -1x) + 2(x + 29)
((3 * 2 + -1x * 2) + x(3 + -1x)) = (5 + x)(7 + -1x) + 2(x + 29)
((6 + -2x) + x(3 + -1x)) = (5 + x)(7 + -1x) + 2(x + 29)
(6 + -2x + (3 * x + -1x * x)) = (5 + x)(7 + -1x) + 2(x + 29)
(6 + -2x + (3x + -1x2)) = (5 + x)(7 + -1x) + 2(x + 29)

Combine like terms: -2x + 3x = 1x
(6 + 1x + -1x2) = (5 + x)(7 + -1x) + 2(x + 29)

Multiply (5 + x) * (7 + -1x)
6 + 1x + -1x2 = (5(7 + -1x) + x(7 + -1x)) + 2(x + 29)
6 + 1x + -1x2 = ((7 * 5 + -1x * 5) + x(7 + -1x)) + 2(x + 29)
6 + 1x + -1x2 = ((35 + -5x) + x(7 + -1x)) + 2(x + 29)
6 + 1x + -1x2 = (35 + -5x + (7 * x + -1x * x)) + 2(x + 29)
6 + 1x + -1x2 = (35 + -5x + (7x + -1x2)) + 2(x + 29)

Combine like terms: -5x + 7x = 2x
6 + 1x + -1x2 = (35 + 2x + -1x2) + 2(x + 29)

Reorder the terms:
6 + 1x + -1x2 = 35 + 2x + -1x2 + 2(29 + x)
6 + 1x + -1x2 = 35 + 2x + -1x2 + (29 * 2 + x * 2)
6 + 1x + -1x2 = 35 + 2x + -1x2 + (58 + 2x)

Reorder the terms:
6 + 1x + -1x2 = 35 + 58 + 2x + 2x + -1x2

Combine like terms: 35 + 58 = 93
6 + 1x + -1x2 = 93 + 2x + 2x + -1x2

Combine like terms: 2x + 2x = 4x
6 + 1x + -1x2 = 93 + 4x + -1x2

Add 'x2' to each side of the equation.
6 + 1x + -1x2 + x2 = 93 + 4x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
6 + 1x + 0 = 93 + 4x + -1x2 + x2
6 + 1x = 93 + 4x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
6 + 1x = 93 + 4x + 0
6 + 1x = 93 + 4x

Solving
6 + 1x = 93 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 1x + -4x = 93 + 4x + -4x

Combine like terms: 1x + -4x = -3x
6 + -3x = 93 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -3x = 93 + 0
6 + -3x = 93

Add '-6' to each side of the equation.
6 + -6 + -3x = 93 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 93 + -6
-3x = 93 + -6

Combine like terms: 93 + -6 = 87
-3x = 87

Divide each side by '-3'.
x = -29

Simplifying
x = -29

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