Q. Solve for x in simplest form.3=34(4x+3)Answer:
Understand and Isolate Variable Term: Understand the equation and isolate the term with the variable x. The equation given is 3=34(4x+3). To isolate the term with x, we need to get rid of the fraction by multiplying both sides of the equation by the denominator, which is 3(4x+3).
Multiply by 3(4x+3): Multiply both sides of the equation by 3(4x+3).3×3(4x+3)=34(4x+3)×3(4x+3)This simplifies to:9(4x+3)=4
Distribute 9 on Left Side: Distribute the 9 on the left side of the equation.9×4x+9×3=4This simplifies to:36x+27=4
Subtract 27 to Isolate x: Subtract 27 from both sides of the equation to isolate the term with x.36x+27−27=4−27This simplifies to:36x=−23
Divide by 36: Divide both sides of the equation by 36 to solve for x.3636x=36−23This simplifies to:x=36−23
Simplify Fraction: Simplify the fraction if possible.−23 and 36 have no common factors other than 1, so the fraction is already in simplest form.x=36−23