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

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

Solve for x

$$x = -\frac{10}{7} = -1\frac{3}{7} \approx -1.428571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\left(4x-2\right)-6=3\times 5x$$

Use the distributive property to multiply 2 by 4x-2.

$$8x-4-6=3\times 5x$$

Subtract 6 from -4 to get -10.

$$8x-10=3\times 5x$$

Multiply 3 and 5 to get 15.

$$8x-10=15x$$

Subtract 15x from both sides.

$$8x-10-15x=0$$

Combine 8x and -15x to get -7x.

$$-7x-10=0$$

Add 10 to both sides. Anything plus zero gives itself.

$$-7x=10$$

Divide both sides by -7.

$$x=\frac{10}{-7}$$

Fraction \frac{10}{-7} can be rewritten as -\frac{10}{7} by extracting the negative sign.

$$x=-\frac{10}{7}$$