Solve x - (3x)/4 = x/7 + 3 | 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

$$x-\frac{3x}{4}=\frac{x}{7}+3$$

Solve for x

$x=28$

Steps for Solving Linear Equation

Multiply both sides of the equation by $28$, the least common multiple of $4,7$.

$$28x-7\times 3x=4x+84$$

Multiply $-7$ and $3$ to get $-21$.

$$28x-21x=4x+84$$

Combine $28x$ and $-21x$ to get $7x$.

$$7x=4x+84$$

Subtract $4x$ from both sides.

$$7x-4x=84$$

Combine $7x$ and $-4x$ to get $3x$.

$$3x=84$$

Divide both sides by $3$.

$$x=\frac{84}{3}$$

Divide $84$ by $3$ to get $28$.

$$x=28$$