Solve for x

x=-1

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2.5-3.5x=8-\left(4x+6\right)

Use the distributive property to multiply 0.5 by 5-7x.

2.5-3.5x=8-4x-6

To find the opposite of 4x+6, find the opposite of each term.

2.5-3.5x=2-4x

Subtract 6 from 8 to get 2.

2.5-3.5x+4x=2

Add 4x to both sides.

2.5+0.5x=2

Combine -3.5x and 4x to get 0.5x.

0.5x=2-2.5

Subtract 2.5 from both sides.

0.5x=-0.5

Subtract 2.5 from 2 to get -0.5.

x=\frac{-0.5}{0.5}

Divide both sides by 0.5.

x=-1

Divide -0.5 by 0.5 to get -1.

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