(8x+10)(3-x)=(11-2x)(4x+5)-5

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Solution for (8x+10)(3-x)=(11-2x)(4x+5)-5 equation:


Simplifying
(8x + 10)(3 + -1x) = (11 + -2x)(4x + 5) + -5

Reorder the terms:
(10 + 8x)(3 + -1x) = (11 + -2x)(4x + 5) + -5

Multiply (10 + 8x) * (3 + -1x)
(10(3 + -1x) + 8x * (3 + -1x)) = (11 + -2x)(4x + 5) + -5
((3 * 10 + -1x * 10) + 8x * (3 + -1x)) = (11 + -2x)(4x + 5) + -5
((30 + -10x) + 8x * (3 + -1x)) = (11 + -2x)(4x + 5) + -5
(30 + -10x + (3 * 8x + -1x * 8x)) = (11 + -2x)(4x + 5) + -5
(30 + -10x + (24x + -8x2)) = (11 + -2x)(4x + 5) + -5

Combine like terms: -10x + 24x = 14x
(30 + 14x + -8x2) = (11 + -2x)(4x + 5) + -5

Reorder the terms:
30 + 14x + -8x2 = (11 + -2x)(5 + 4x) + -5

Multiply (11 + -2x) * (5 + 4x)
30 + 14x + -8x2 = (11(5 + 4x) + -2x * (5 + 4x)) + -5
30 + 14x + -8x2 = ((5 * 11 + 4x * 11) + -2x * (5 + 4x)) + -5
30 + 14x + -8x2 = ((55 + 44x) + -2x * (5 + 4x)) + -5
30 + 14x + -8x2 = (55 + 44x + (5 * -2x + 4x * -2x)) + -5
30 + 14x + -8x2 = (55 + 44x + (-10x + -8x2)) + -5

Combine like terms: 44x + -10x = 34x
30 + 14x + -8x2 = (55 + 34x + -8x2) + -5

Reorder the terms:
30 + 14x + -8x2 = 55 + -5 + 34x + -8x2

Combine like terms: 55 + -5 = 50
30 + 14x + -8x2 = 50 + 34x + -8x2

Add '8x2' to each side of the equation.
30 + 14x + -8x2 + 8x2 = 50 + 34x + -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
30 + 14x + 0 = 50 + 34x + -8x2 + 8x2
30 + 14x = 50 + 34x + -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
30 + 14x = 50 + 34x + 0
30 + 14x = 50 + 34x

Solving
30 + 14x = 50 + 34x

Solving for variable 'x'.

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

Add '-34x' to each side of the equation.
30 + 14x + -34x = 50 + 34x + -34x

Combine like terms: 14x + -34x = -20x
30 + -20x = 50 + 34x + -34x

Combine like terms: 34x + -34x = 0
30 + -20x = 50 + 0
30 + -20x = 50

Add '-30' to each side of the equation.
30 + -30 + -20x = 50 + -30

Combine like terms: 30 + -30 = 0
0 + -20x = 50 + -30
-20x = 50 + -30

Combine like terms: 50 + -30 = 20
-20x = 20

Divide each side by '-20'.
x = -1

Simplifying
x = -1

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