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

$$( x - 3 ) / 4 - ( 2 x - 1 ) / 5 = 5$$

Solve for x

$$x=-37$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5\left(x-3\right)-4\left(2x-1\right)=100$$

Use the distributive property to multiply 5 by x-3.

$$5x-15-4\left(2x-1\right)=100$$

Use the distributive property to multiply -4 by 2x-1.

$$5x-15-8x+4=100$$

Combine 5x and -8x to get -3x.

$$-3x-15+4=100$$

Add -15 and 4 to get -11.

$$-3x-11=100$$

Add 11 to both sides.

$$-3x=100+11$$

Add 100 and 11 to get 111.

$$-3x=111$$

Divide both sides by -3.

$$x=\frac{111}{-3}$$

Divide 111 by -3 to get -37.

$$x=-37$$