Solve 3-5x/7-x/4=1/2+5-4x/8

$$3 \frac { - 5 x } { 7 } - \frac { x } { 4 } = \frac { 1 } { 2 } + \frac { 5 - 4 x } { 8 }$$

Solve for x

$$x=-\frac{63}{106}\approx -0.594339623$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 56, the least common multiple of 7,4,2,8.

$$24\left(-5\right)x-14x=28+7\left(5-4x\right)$$

Multiply 24 and -5 to get -120.

$$-120x-14x=28+7\left(5-4x\right)$$

Combine -120x and -14x to get -134x.

$$-134x=28+7\left(5-4x\right)$$

Use the distributive property to multiply 7 by 5-4x.

$$-134x=28+35-28x$$

Add 28 and 35 to get 63.

$$-134x=63-28x$$

Add 28x to both sides.

$$-134x+28x=63$$

Combine -134x and 28x to get -106x.

$$-106x=63$$

Divide both sides by -106.

$$x=\frac{63}{-106}$$

Fraction \frac{63}{-106} can be rewritten as -\frac{63}{106} by extracting the negative sign.

$$x=-\frac{63}{106}$$