Solve (1)/(2)x-4=(3)/(2) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

Solve for x

$x=11$

Steps for Solving Linear Equation

Add $4$ to both sides.

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

Convert $4$ to fraction $\frac{8}{2}$.

$$\frac{1}{2}x=\frac{3}{2}+\frac{8}{2}$$

Since $\frac{3}{2}$ and $\frac{8}{2}$ have the same denominator, add them by adding their numerators.

$$\frac{1}{2}x=\frac{3+8}{2}$$

Add $3$ and $8$ to get $11$.

$$\frac{1}{2}x=\frac{11}{2}$$

Multiply both sides by $2$, the reciprocal of $\frac{1}{2}$.

$$x=\frac{11}{2}\times 2$$

Cancel out $2$ and $2$.

$$x=11$$