Solve for x
4(2x-1)= 3x-19

x = -3

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 4 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

4 ( 2x - 1 ) = 3x - 19

→ Expand the brackets

8x - 4 = 3x - 19

→ Minus 3x from both sides to isolate -19 and bring all the x coefficients to one side

5x - 4 = -19

→ Add -4 to both sides to isolate 5x

5x = -15

→ Divide both sides by 5 to isolate x and therefore find the value of x

x = -3

→ We can substitute x = -3 back into 4 ( 2x - 1 ) = 3x - 19 to see if we have the correct solution, if we end with the same number on both sides then  x = -3 is correct.

4 ( 2x - 1 ) = 3x - 19

8x - 4 = 3x - 19

( 8 × -3 ) - 4 = ( 3 × -3 ) - 19

-24 - 4 = - 9 - 19

-28 = -28

So x = -3 is correct

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.