Solve x-(-41/4)=23/8

$$x - ( - 4 \frac { 1 } { 4 } ) = 2 \frac { 3 } { 8 }$$

Solve for x

$$x = -\frac{15}{8} = -1\frac{7}{8} = -1.875$$

Steps for Solving Linear Equation

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

$$8x-\left(-2\left(4\times 4+1\right)\right)=2\times 8+3$$

Multiply 4 and 4 to get 16.

$$8x-\left(-2\left(16+1\right)\right)=2\times 8+3$$

Add 16 and 1 to get 17.

$$8x-\left(-2\times 17\right)=2\times 8+3$$

Multiply -2 and 17 to get -34.

$$8x-\left(-34\right)=2\times 8+3$$

The opposite of -34 is 34.

$$8x+34=2\times 8+3$$

Multiply 2 and 8 to get 16.

$$8x+34=16+3$$

Add 16 and 3 to get 19.

$$8x+34=19$$

Subtract 34 from both sides.

$$8x=19-34$$

Subtract 34 from 19 to get -15.

$$8x=-15$$

Divide both sides by 8.

$$x=\frac{-15}{8}$$

Fraction \frac{-15}{8} can be rewritten as -\frac{15}{8} by extracting the negative sign.

$$x=-\frac{15}{8}$$