Find Common Denominator: Find a common denominator for the fractions to combine them.The common denominator for 4 and 10 is 20. Multiply each fraction by a form of 1 that will give each fraction this common denominator.43x+3×55+10x+3×22=7
Multiply Fractions: Distribute the numerators with their respective multipliers. 205(3x+3)+202(x+3)=7
Distribute Numerators: Simplify the numerators.(15x+15)/20+(2x+6)/20=7
Simplify Numerators: Combine the fractions since they have the same denominator. (15x+15+2x+6)/20=7
Combine Fractions: Combine like terms in the numerator.(17x+21)/20=7
Combine Like Terms: Multiply both sides by 20 to eliminate the denominator.20×(2017x+21)=7×20
Eliminate Denominator: Simplify both sides of the equation.17x+21=140
Simplify Equation: Subtract 21 from both sides to isolate the term with x.17x+21−21=140−21
Isolate Term with x: Simplify both sides of the equation. 17x=119
Divide by 17: Divide both sides by 17 to solve for x.1717x=17119
Find Value of x: Simplify the equation to find the value of x.x=17119x=7
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