3(2 x – 5) = 4( x + 3)

x = 27/2 = 13.500

Step-by-step explanation:

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(2*x-5)-(4*(x+3))=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (3 • (2x - 5)) -  4 • (x + 3)  = 0

Step  2  :

Equation at the end of step  2  :

 3 • (2x - 5) -  4 • (x + 3)  = 0

Step  3  :

Equation at the end of step  3  :

 2x - 27  = 0

Step  4  :

Solving a Single Variable Equation :

4.1      Solve  :    2x-27 = 0

Add  27  to both sides of the equation :

                     2x = 27

Divide both sides of the equation by 2:

                    x = 27/2 = 13.500

One solution was found :

                  x = 27/2 = 13.500

x = 13.5

Step-by-step explanation:

3(2 x – 5) = 4( x + 3)

Distribute

6x - 15 = 4x +12

Subtract 4x from each side

6x-4x - 15 = 4x-4x +12

2x -15 = 12

Add 15 to each side

2x-15+15 = 12+15

2x = 27

Divide each side by 2

2x/2 =27/2

x = 13.5

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!