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

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

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 2,3,4.

$$6\left(x-2\right)+4\left(1-5x\right)=-15$$

Use the distributive property to multiply 6 by x-2.

$$6x-12+4\left(1-5x\right)=-15$$

Use the distributive property to multiply 4 by 1-5x.

$$6x-12+4-20x=-15$$

Add -12 and 4 to get -8.

$$6x-8-20x=-15$$

Combine 6x and -20x to get -14x.

$$-14x-8=-15$$

Add 8 to both sides.

$$-14x=-15+8$$

Add -15 and 8 to get -7.

$$-14x=-7$$

Divide both sides by -14.

$$x=\frac{-7}{-14}$$

Reduce the fraction \frac{-7}{-14} to lowest terms by extracting and canceling out -7.

$$x=\frac{1}{2}$$