(x+8)/4 = 37/20 + (x-3)/5

please read the / as a fraction so it will be

(x+8) over 4 = 37 over 20 + (x-3) over 5

Thank you for the opportunity to help you with your question!

We will solve this by isolating x. Explanations are provided below each step.

(X+8)/4=(37+4(x-3))/20

Make fractions on right side have the common denominator 20.

(X+8)/4=(25+4x)/20

Distribute 4(x-3) and combine like terms

X+8=(25+4x)/5

Multiply both sides by 4

5x+40=25+4x

Multiply both sides by 5

X=-15

Combine like terms.

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