2(3x-5)+4x-10=4x+2(x+6)

x= 8

Step-by-step explanation:

2(3x-5)+4x-10=4x+2(x+6)

Cancel equal terms on both sides of the equation

2(3x-5)-10= 2(x+6)

Distribute 2 through the parenthesis

6x-10-10= 2x+12

Calculate the difference

6x-10-10= 2x+12

6x-20= 2x+12

Move variable to the left-hand side and change its sign

6x-20= 2x+12

-2x        -2x

4x-20= 12

Add 20 to both sides.

4x-20= 12

  +20 +20

4x= 32

Divide both sides of the equation by 4

4x= 32

4     4

x= 8

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.