Solve w+3/4=w/3+2w-1/5

$$\frac { w + 3 } { 4 } = \frac { w } { 3 } + \frac { 2 w - 1 } { 5 }$$

Solve for w

$$w = \frac{57}{29} = 1\frac{28}{29} \approx 1.965517241$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 4,3,5.

$$15\left(w+3\right)=20w+12\left(2w-1\right)$$

Use the distributive property to multiply 15 by w+3.

$$15w+45=20w+12\left(2w-1\right)$$

Use the distributive property to multiply 12 by 2w-1.

$$15w+45=20w+24w-12$$

Combine 20w and 24w to get 44w.

$$15w+45=44w-12$$

Subtract 44w from both sides.

$$15w+45-44w=-12$$

Combine 15w and -44w to get -29w.

$$-29w+45=-12$$

Subtract 45 from both sides.

$$-29w=-12-45$$

Subtract 45 from -12 to get -57.

$$-29w=-57$$

Divide both sides by -29.

$$w=\frac{-57}{-29}$$

Fraction \frac{-57}{-29} can be simplified to \frac{57}{29} by removing the negative sign from both the numerator and the denominator.

$$w=\frac{57}{29}$$