Solve 7/2 * x + 1/2 * x = 3x + 3/2 + 5/2 | 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

$$\frac{7}{2}x+\frac{1}{2}x=3x+\frac{3}{2}+\frac{5}{2}$$

Solve for x

$x=4$

Steps for Solving Linear Equation

Combine $\frac{7}{2}x$ and $\frac{1}{2}x$ to get $4x$.

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

Since $\frac{3}{2}$ and $\frac{5}{2}$ have the same denominator, add them by adding their numerators.

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

Add $3$ and $5$ to get $8$.

$$4x=3x+\frac{8}{2}$$

Divide $8$ by $2$ to get $4$.

$$4x=3x+4$$

Subtract $3x$ from both sides.

$$4x-3x=4$$

Combine $4x$ and $-3x$ to get $x$.

$$x=4$$