What is the answer to 2[5-4(3x+5)]=2 2/3 x ?

The answer to 2[5-4(3x+5)]=2 2/3 x is x=-1 1/8

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2[5-4(3x+5)]=2 2/3 x

2 [5 - 4 (3 x + 5)] = 2 \frac{2}{3} x

x = - 1 \frac{1}{8}

Decimal Notation

x = - 1.125

Solution steps

2 [5 - 4 (3 x + 5)] = 2 \frac{2}{3} x

Convert mixed numbers to improper fractions:

2 \frac{2}{3} = \frac{8}{3}

2 [5 - 4 (3 x + 5)] = \frac{8}{3} x

Expand

2 (5 - 4 (3 x + 5)) : - 24 x - 30

- 24 x - 30 = \frac{8}{3} x

Move

30

to the right side

- 24 x = \frac{8}{3} x + 30

Move

\frac{8}{3} x

to the left side

- \frac{80}{3} x = 30

Multiply both sides by

3

- 80 x = 90

Divide both sides by

- 80

x = - \frac{9}{8}

Convert improper fractions to mixed numbers:

\frac{9}{8} = 1 \frac{1}{8}

x = - 1 \frac{1}{8}

7 x - 3 + 3 \frac{2}{3} x - 1 = \frac{1}{3}

6 x + 4 = 8 x + 8

5 (x + 1) = 4 (x - 1) + x

x, y - 7 + 5 = - 2 x

\frac{x}{2} + \frac{3 x}{5} = 6

What is the answer to 2[5-4(3x+5)]=2 2/3 x ?
The answer to 2[5-4(3x+5)]=2 2/3 x is x=-1 1/8
Solve for x: 2[5-4(3x+5)]=2 2/3 x
The solution is x=-1 1/8