7+(8-2x)(3+x)=27+(12+2x)(2-x)

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Solution for 7+(8-2x)(3+x)=27+(12+2x)(2-x) equation: 


Simplifying
7 + (8 + -2x)(3 + x) = 27 + (12 + 2x)(2 + -1x)

Multiply (8 + -2x) * (3 + x)
7 + (8(3 + x) + -2x * (3 + x)) = 27 + (12 + 2x)(2 + -1x)
7 + ((3 * 8 + x * 8) + -2x * (3 + x)) = 27 + (12 + 2x)(2 + -1x)
7 + ((24 + 8x) + -2x * (3 + x)) = 27 + (12 + 2x)(2 + -1x)
7 + (24 + 8x + (3 * -2x + x * -2x)) = 27 + (12 + 2x)(2 + -1x)
7 + (24 + 8x + (-6x + -2x2)) = 27 + (12 + 2x)(2 + -1x)

Combine like terms: 8x + -6x = 2x
7 + (24 + 2x + -2x2) = 27 + (12 + 2x)(2 + -1x)

Combine like terms: 7 + 24 = 31
31 + 2x + -2x2 = 27 + (12 + 2x)(2 + -1x)

Multiply (12 + 2x) * (2 + -1x)
31 + 2x + -2x2 = 27 + (12(2 + -1x) + 2x * (2 + -1x))
31 + 2x + -2x2 = 27 + ((2 * 12 + -1x * 12) + 2x * (2 + -1x))
31 + 2x + -2x2 = 27 + ((24 + -12x) + 2x * (2 + -1x))
31 + 2x + -2x2 = 27 + (24 + -12x + (2 * 2x + -1x * 2x))
31 + 2x + -2x2 = 27 + (24 + -12x + (4x + -2x2))

Combine like terms: -12x + 4x = -8x
31 + 2x + -2x2 = 27 + (24 + -8x + -2x2)

Combine like terms: 27 + 24 = 51
31 + 2x + -2x2 = 51 + -8x + -2x2

Add '2x2' to each side of the equation.
31 + 2x + -2x2 + 2x2 = 51 + -8x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
31 + 2x + 0 = 51 + -8x + -2x2 + 2x2
31 + 2x = 51 + -8x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
31 + 2x = 51 + -8x + 0
31 + 2x = 51 + -8x

Solving
31 + 2x = 51 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
31 + 2x + 8x = 51 + -8x + 8x

Combine like terms: 2x + 8x = 10x
31 + 10x = 51 + -8x + 8x

Combine like terms: -8x + 8x = 0
31 + 10x = 51 + 0
31 + 10x = 51

Add '-31' to each side of the equation.
31 + -31 + 10x = 51 + -31

Combine like terms: 31 + -31 = 0
0 + 10x = 51 + -31
10x = 51 + -31

Combine like terms: 51 + -31 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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