Solve (6-x)/10=(-4-2x)/5

$$\frac { ( 6 - x ) } { 10 } = \frac { ( - 4 - 2 x ) } { 5 }$$

Solve for x

$$x = -\frac{14}{3} = -4\frac{2}{3} \approx -4.666666667$$

Steps for Solving Linear Equation

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

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

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

$$6-x=-8-4x$$

Add 4x to both sides.

$$6-x+4x=-8$$

Combine -x and 4x to get 3x.

$$6+3x=-8$$

Subtract 6 from both sides.

$$3x=-8-6$$

Subtract 6 from -8 to get -14.

$$3x=-14$$

Divide both sides by 3.

$$x=\frac{-14}{3}$$

Fraction \frac{-14}{3} can be rewritten as -\frac{14}{3} by extracting the negative sign.

$$x=-\frac{14}{3}$$