What is the answer to (x-7)(8x-4)=(4x-5)(2x+7) ?

The answer to (x-7)(8x-4)=(4x-5)(2x+7) is x= 21/26

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(x-7)(8x-4)=(4x-5)(2x+7)

(x - 7) (8 x - 4) = (4 x - 5) (2 x + 7)

x = \frac{21}{26}

Decimal Notation

x = 0.80769 \dots

Solution steps

(x - 7) (8 x - 4) = (4 x - 5) (2 x + 7)

Expand

(x - 7) (8 x - 4) : 8 x^{2} - 60 x + 28

Expand

(4 x - 5) (2 x + 7) : 8 x^{2} + 18 x - 35

8 x^{2} - 60 x + 28 = 8 x^{2} + 18 x - 35

Move

28

to the right side

8 x^{2} - 60 x = 8 x^{2} + 18 x - 63

Subtract

8 x^{2} + 18 x

from both sides

8 x^{2} - 60 x - (8 x^{2} + 18 x) = 8 x^{2} + 18 x - 63 - (8 x^{2} + 18 x)

Simplify

- 78 x = - 63

Divide both sides by

- 78

x = \frac{21}{26}

x, 3 x - 5 y = - 2

24 - 5 w = 9

x, y - 3 x = 19

5 x - 40 = 10

x, 2 x + 4 y = - 16

What is the answer to (x-7)(8x-4)=(4x-5)(2x+7) ?
The answer to (x-7)(8x-4)=(4x-5)(2x+7) is x= 21/26
Solve for x: (x-7)(8x-4)=(4x-5)(2x+7)
The solution is x= 21/26