Solve (5x)/6 + x/2 - (3x)/4 = 21 | 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

$$\frac{5x}{6}+\frac{x}{2}-\frac{3x}{4}=21$$

Solve for x

$x=36$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $6,2,4$.

$$2\times 5x+6x-3\times 3x=252$$

Multiply $2$ and $5$ to get $10$.

$$10x+6x-3\times 3x=252$$

Combine $10x$ and $6x$ to get $16x$.

$$16x-3\times 3x=252$$

Multiply $-3$ and $3$ to get $-9$.

$$16x-9x=252$$

Combine $16x$ and $-9x$ to get $7x$.

$$7x=252$$

Divide both sides by $7$.

$$x=\frac{252}{7}$$

Divide $252$ by $7$ to get $36$.

$$x=36$$