Solve 4x/5-3/10=8x/2+4/10

$$\frac { 4 x } { 5 } - \frac { 3 } { 10 } = \frac { 8 x } { 2 } + \frac { 4 } { 10 }$$

Solve for x

$$x=-\frac{7}{32}=-0.21875$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,10,2.

$$2\times 4x-3=5\times 8x+4$$

Multiply 2 and 4 to get 8.

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

Multiply 5 and 8 to get 40.

$$8x-3=40x+4$$

Subtract 40x from both sides.

$$8x-3-40x=4$$

Combine 8x and -40x to get -32x.

$$-32x-3=4$$

Add 3 to both sides.

$$-32x=4+3$$

Add 4 and 3 to get 7.

$$-32x=7$$

Divide both sides by -32.

$$x=\frac{7}{-32}$$

Fraction \frac{7}{-32} can be rewritten as -\frac{7}{32} by extracting the negative sign.

$$x=-\frac{7}{32}$$