Solve (3x)/7 + 5 = (9x)/14 + 20 | 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

$$\frac{3x}{7}+5=\frac{9x}{14}+20$$

Solve for x

$x=-70$

Steps for Solving Linear Equation

Multiply both sides of the equation by $14$, the least common multiple of $7,14$.

$$2\times 3x+70=9x+280$$

Multiply $2$ and $3$ to get $6$.

$$6x+70=9x+280$$

Subtract $9x$ from both sides.

$$6x+70-9x=280$$

Combine $6x$ and $-9x$ to get $-3x$.

$$-3x+70=280$$

Subtract $70$ from both sides.

$$-3x=280-70$$

Subtract $70$ from $280$ to get $210$.

$$-3x=210$$

Divide both sides by $-3$.

$$x=\frac{210}{-3}$$

Divide $210$ by $-3$ to get $-70$.

$$x=-70$$