Solve (5 - 7x)/(2 + 4x) = - 8/7 | 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

$$\frac{5-7x}{2+4x}=\frac{-8}{7}$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-\frac{1}{2}$ since division by zero is not defined. Multiply both sides of the equation by $14\left(2x+1\right)$, the least common multiple of $2+4x,7$.

$$7\left(5-7x\right)=\left(4x+2\right)\left(-8\right)$$

Use the distributive property to multiply $7$ by $5-7x$.

$$35-49x=\left(4x+2\right)\left(-8\right)$$

Use the distributive property to multiply $4x+2$ by $-8$.

$$35-49x=-32x-16$$

Add $32x$ to both sides.

$$35-49x+32x=-16$$

Combine $-49x$ and $32x$ to get $-17x$.

$$35-17x=-16$$

Subtract $35$ from both sides.

$$-17x=-16-35$$

Subtract $35$ from $-16$ to get $-51$.

$$-17x=-51$$

Divide both sides by $-17$.

$$x=\frac{-51}{-17}$$

Divide $-51$ by $-17$ to get $3$.

$$x=3$$