Solve 6x+1/5=-10+2x+1/2

$$\frac { 6 x + 1 } { 5 } = - 10 + \frac { 2 x + 1 } { 2 }$$

Solve for x

$$x = -\frac{97}{2} = -48\frac{1}{2} = -48.5$$

Steps for Solving Linear Equation

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

$$2\left(6x+1\right)=-100+5\left(2x+1\right)$$

Use the distributive property to multiply 2 by 6x+1.

$$12x+2=-100+5\left(2x+1\right)$$

Use the distributive property to multiply 5 by 2x+1.

$$12x+2=-100+10x+5$$

Add -100 and 5 to get -95.

$$12x+2=-95+10x$$

Subtract 10x from both sides.

$$12x+2-10x=-95$$

Combine 12x and -10x to get 2x.

$$2x+2=-95$$

Subtract 2 from both sides.

$$2x=-95-2$$

Subtract 2 from -95 to get -97.

$$2x=-97$$

Divide both sides by 2.

$$x=\frac{-97}{2}$$

Fraction \frac{-97}{2} can be rewritten as -\frac{97}{2} by extracting the negative sign.

$$x=-\frac{97}{2}$$