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Solve for 
x.

(3x+3)/(4)+(x+3)/(10)=7
Answer:

Solve for x \mathrm{x} .\newline3x+34+x+310=7 \frac{3 x+3}{4}+\frac{x+3}{10}=7 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} .\newline3x+34+x+310=7 \frac{3 x+3}{4}+\frac{x+3}{10}=7 \newlineAnswer:
  1. Find Common Denominator: Find a common denominator for the fractions to combine them.\newlineThe common denominator for 44 and 1010 is 2020. Multiply each fraction by a form of 11 that will give each fraction this common denominator.\newline3x+34×55+x+310×22=7\frac{3x+3}{4} \times \frac{5}{5} + \frac{x+3}{10} \times \frac{2}{2} = 7
  2. Multiply Fractions: Distribute the numerators with their respective multipliers. 5(3x+3)20+2(x+3)20=7\frac{5(3x+3)}{20} + \frac{2(x+3)}{20} = 7
  3. Distribute Numerators: Simplify the numerators.\newline(15x+15)/20+(2x+6)/20=7(15x+15)/20 + (2x+6)/20 = 7
  4. Simplify Numerators: Combine the fractions since they have the same denominator. (15x+15+2x+6)/20=7(15x+15+2x+6)/20 = 7
  5. Combine Fractions: Combine like terms in the numerator.\newline(17x+21)/20=7(17x+21)/20 = 7
  6. Combine Like Terms: Multiply both sides by 2020 to eliminate the denominator.\newline20×(17x+2120)=7×2020 \times \left(\frac{17x+21}{20}\right) = 7 \times 20
  7. Eliminate Denominator: Simplify both sides of the equation.\newline17x+21=14017x+21 = 140
  8. Simplify Equation: Subtract 2121 from both sides to isolate the term with xx.\newline17x+2121=1402117x+21-21 = 140-21
  9. Isolate Term with x: Simplify both sides of the equation. 17x=11917x = 119
  10. Divide by 1717: Divide both sides by 1717 to solve for x.\newline17x17=11917\frac{17x}{17} = \frac{119}{17}
  11. Find Value of x: Simplify the equation to find the value of xx.x=11917x = \frac{119}{17}x=7x = 7