Solve 4x-3/5-1=7x-2/3

$$\frac { 4 x - 3 } { 5 } - 1 = \frac { 7 x - 2 } { 3 }$$

Solve for x

$$x=-\frac{14}{23}\approx -0.608695652$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(4x-3\right)-15=5\left(7x-2\right)$$

Use the distributive property to multiply 3 by 4x-3.

$$12x-9-15=5\left(7x-2\right)$$

Subtract 15 from -9 to get -24.

$$12x-24=5\left(7x-2\right)$$

Use the distributive property to multiply 5 by 7x-2.

$$12x-24=35x-10$$

Subtract 35x from both sides.

$$12x-24-35x=-10$$

Combine 12x and -35x to get -23x.

$$-23x-24=-10$$

Add 24 to both sides.

$$-23x=-10+24$$

Add -10 and 24 to get 14.

$$-23x=14$$

Divide both sides by -23.

$$x=\frac{14}{-23}$$

Fraction \frac{14}{-23} can be rewritten as -\frac{14}{23} by extracting the negative sign.

$$x=-\frac{14}{23}$$