Solve 3(x+4)-5x+7/4=-1/2+x

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

Solve for x

$$x = -\frac{43}{3} = -14\frac{1}{3} \approx -14.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$12\left(x+4\right)-\left(5x+7\right)=-2+4x$$

Use the distributive property to multiply 12 by x+4.

$$12x+48-\left(5x+7\right)=-2+4x$$

To find the opposite of 5x+7, find the opposite of each term.

$$12x+48-5x-7=-2+4x$$

Combine 12x and -5x to get 7x.

$$7x+48-7=-2+4x$$

Subtract 7 from 48 to get 41.

$$7x+41=-2+4x$$

Subtract 4x from both sides.

$$7x+41-4x=-2$$

Combine 7x and -4x to get 3x.

$$3x+41=-2$$

Subtract 41 from both sides.

$$3x=-2-41$$

Subtract 41 from -2 to get -43.

$$3x=-43$$

Divide both sides by 3.

$$x=\frac{-43}{3}$$

Fraction \frac{-43}{3} can be rewritten as -\frac{43}{3} by extracting the negative sign.

$$x=-\frac{43}{3}$$