(2x+7)(4x-9)=8x(x+4)-9

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Solution for (2x+7)(4x-9)=8x(x+4)-9 equation:


Simplifying
(2x + 7)(4x + -9) = 8x(x + 4) + -9

Reorder the terms:
(7 + 2x)(4x + -9) = 8x(x + 4) + -9

Reorder the terms:
(7 + 2x)(-9 + 4x) = 8x(x + 4) + -9

Multiply (7 + 2x) * (-9 + 4x)
(7(-9 + 4x) + 2x * (-9 + 4x)) = 8x(x + 4) + -9
((-9 * 7 + 4x * 7) + 2x * (-9 + 4x)) = 8x(x + 4) + -9
((-63 + 28x) + 2x * (-9 + 4x)) = 8x(x + 4) + -9
(-63 + 28x + (-9 * 2x + 4x * 2x)) = 8x(x + 4) + -9
(-63 + 28x + (-18x + 8x2)) = 8x(x + 4) + -9

Combine like terms: 28x + -18x = 10x
(-63 + 10x + 8x2) = 8x(x + 4) + -9

Reorder the terms:
-63 + 10x + 8x2 = 8x(4 + x) + -9
-63 + 10x + 8x2 = (4 * 8x + x * 8x) + -9
-63 + 10x + 8x2 = (32x + 8x2) + -9

Reorder the terms:
-63 + 10x + 8x2 = -9 + 32x + 8x2

Add '-8x2' to each side of the equation.
-63 + 10x + 8x2 + -8x2 = -9 + 32x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-63 + 10x + 0 = -9 + 32x + 8x2 + -8x2
-63 + 10x = -9 + 32x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-63 + 10x = -9 + 32x + 0
-63 + 10x = -9 + 32x

Solving
-63 + 10x = -9 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-63 + 10x + -32x = -9 + 32x + -32x

Combine like terms: 10x + -32x = -22x
-63 + -22x = -9 + 32x + -32x

Combine like terms: 32x + -32x = 0
-63 + -22x = -9 + 0
-63 + -22x = -9

Add '63' to each side of the equation.
-63 + 63 + -22x = -9 + 63

Combine like terms: -63 + 63 = 0
0 + -22x = -9 + 63
-22x = -9 + 63

Combine like terms: -9 + 63 = 54
-22x = 54

Divide each side by '-22'.
x = -2.454545455

Simplifying
x = -2.454545455

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