What is the solution to the equation2/3x+1/6=1​

Answer:x = 5/4Step-by-step explanation:We can solve for x by isolating it from the other numbers. Move everything else over to the other side in reverse BEDMAS order.[tex]\frac{2}{3}x + \frac{1}{6}  = 1[/tex][tex]\frac{4}{6}x + \frac{1}{6}  = 1[/tex]    Give the fractions common denominators[tex]\frac{4}{6}x + \frac{1}{6}  - \frac{1}{6} = 1 - \frac{1}{6}[/tex]  Subtract 1/6 from both sides[tex]\frac{4}{6}x  = 1 - \frac{1}{6}[/tex]   1/6 is cancelled out on the left side[tex]\frac{4}{6}x  = \frac{5}{6}[/tex]    Simplify the right side[tex]\frac{\frac{4}{6}x}{4/6}  = \frac{\frac{5}{6}}{4/6}[/tex] Divide both sides by 4/6[tex]\frac{4}{6}x X\frac{6}{4} = \frac{5}{6} X\frac{6}{4}[/tex]   Dividing is like multiplying by the flipped second fraction on both sides[tex]\frac{24}{24}x  = \frac{30}{24} [/tex]   Simplify. 24/24 = 1 and reduce 30/24[tex]x  = \frac{5}{4} [/tex]  Final answer