What is the answer to 10(4x+2)=3(8-x)+6 ?

The answer to 10(4x+2)=3(8-x)+6 is x= 10/43

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10(4x+2)=3(8-x)+6

10 (4 x + 2) = 3 (8 - x) + 6

x = \frac{10}{43}

Decimal Notation

x = 0.23255 \dots

Solution steps

10 (4 x + 2) = 3 (8 - x) + 6

Expand

10 (4 x + 2) : 40 x + 20

Expand

3 (8 - x) + 6 : - 3 x + 30

40 x + 20 = - 3 x + 30

Move

20

to the right side

40 x = - 3 x + 10

Move

3 x

to the left side

43 x = 10

Divide both sides by

43

x = \frac{10}{43}

3^{\frac{2}{7}} \cdot 3^{\frac{5}{7}}

7 - 10 x + 2 x = 10 - 1 + 5 x

\frac{3}{4} (4)

x - \frac{x + 2}{12} = \frac{5 x}{2}

3 x + {- 5 x (x + 3)} = 8 x + (- 5 - 9)

What is the answer to 10(4x+2)=3(8-x)+6 ?
The answer to 10(4x+2)=3(8-x)+6 is x= 10/43
Solve for x: 10(4x+2)=3(8-x)+6
The solution is x= 10/43