Solve 2x + 3 = 12 - 5/2 * x | 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

$$2x+3=12-\frac{5}{2}x$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Add $\frac{5}{2}x$ to both sides.

$$2x+3+\frac{5}{2}x=12$$

Combine $2x$ and $\frac{5}{2}x$ to get $\frac{9}{2}x$.

$$\frac{9}{2}x+3=12$$

Subtract $3$ from both sides.

$$\frac{9}{2}x=12-3$$

Subtract $3$ from $12$ to get $9$.

$$\frac{9}{2}x=9$$

Multiply both sides by $\frac{2}{9}$, the reciprocal of $\frac{9}{2}$.

$$x=9\times \frac{2}{9}$$

Cancel out $9$ and $9$.

$$x=2$$