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

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

Solve for x

$$x=\frac{1}{23}\approx 0.043478261$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(x-7\right)-12=-4\left(5x+8\right)$$

Use the distributive property to multiply 3 by x-7.

$$3x-21-12=-4\left(5x+8\right)$$

Subtract 12 from -21 to get -33.

$$3x-33=-4\left(5x+8\right)$$

Use the distributive property to multiply -4 by 5x+8.

$$3x-33=-20x-32$$

Add 20x to both sides.

$$3x-33+20x=-32$$

Combine 3x and 20x to get 23x.

$$23x-33=-32$$

Add 33 to both sides.

$$23x=-32+33$$

Add -32 and 33 to get 1.

$$23x=1$$

Divide both sides by 23.

$$x=\frac{1}{23}$$