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8(2x - 9) = 4(5 + 4x) solve for x

User Babu Swami
by
3.4k points

2 Answers

2 votes

Answer:

No solution

Explanation:

8(2x - 9) = 4(5 + 4x)

Simplify

8(2x−9).

Start simplifying.

0+0+8(2x−9)=4(5+4x)

Simplify by adding zeros.

8(2x−9)=4(5+4x)

Apply the distributive property.

8(2x)+8(−9)=4(5+4x)

Multiply 2 by 8.

16x+8(−9)=4(5+4x)

Multiply 8 by −9.

16x−72=4(5+4x)

Simplify

4(5+4x).

Apply the distributive property.

16x−72=4×5+4(4x)

Multiply 4 by 5.

16x−72=20+4(4x)

Multiply 4 by 4.

16x−72=20+16x

Move all terms containing x to the left side of the equation.

Subtract 16x from both sides of the equation.

16x−72−16x=20

Combine the opposite terms in

16x−72−16x.

Subtract 16x from 16x.

0−72=20

Subtract 72 from 0.

−72=20

Since −72 ≠ 20, there are no solutions.

Hope it is helpful...

User Jackhao
by
3.1k points
4 votes

Answer:

No solutions

Explanation:

8(2x - 9) = 4(5 + 4x)

Distribute the 8

16x - 72 = 4(5 + 4x)

Distribute the 4.

16x - 72 = 20 + 16x

Add 72 to both sides

16x = 92 + 16x

Subtract 16x from both sides

0 = 92

0 does not equal 92 therefore there are no solutions

User Solangie
by
3.0k points