How many solutions does the
equation have?
3(7/3 + 4/3) - 2x + 8 = 5x + 12

It only has one solution.

Step-by-step explanation:

Let's solve your equation step-by-step.

3( 7 /3 + 4 /3 )−2x+8=5x+12

Step 1: Simplify both sides of the equation.

3( 7 /3 + 4 /3 )−2x+8=5x+12

11+−2x+8=5x+12

(−2x)+(11+8)=5x+12(Combine Like Terms)

−2x+19=5x+12

−2x+19=5x+12

Step 2: Subtract 5x from both sides.

−2x+19−5x=5x+12−5x

−7x+19=12

Step 3: Subtract 19 from both sides.

−7x+19−19=12−19

−7x=−7

Step 4: Divide both sides by -7.

−7x /−7 = −7 /−7

x=1

x=1

D

Step-by-step explanation:

y=-x-4

First, we can match the graphs with the y-intercept of -4 given from the equation.

Only graphs C and D crosses the y-axis at -4.

The slope from the equation is -1.

If the slope is a negative number, the line should be negative as well, meaning the line should be going downwards (left to right always)

Out of graphs C and D, only graph D has a line going downwards and a y-intercept of -4.

Hope I was able to help! Good Luck!