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Surface area = 392 in²

Step-by-step explanation:

It is divided into different sections as shown in the attached photo to aid explanation.

Looking at the attached photo

Area of A = 6 × 6 = 36 in²

Area of B = 4 × 10 = 40 in²

Area of the face containing A and B = 36 + 40 = 76 in²

Since the face is the same on the opposite end,

Area of the opposite end of AB = 76 in²

Area o C = 6 × 4 = 24 in²

Area of D = 6 × 6 = 36 in²

Area of E = 6 × 6 = 36 in²

Area of F = 6 × 4 = 24 in²

Area of base G = 10 × 6 = 60 in²

Area of back H = 6 × 10 = 60 in²

The surface area is the sum of all the faces of the given solid.

Therefore,

Surface area = 76 + 76 + 24 + 36 + 36 + 24 + 60 + 60 = 392 square inches

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.