Solve (5x + 11)/(3x + 8) = 4 | 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

$$\frac{5x+11}{3x+8}=4$$

Solve for x

$x=-3$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-\frac{8}{3}$ since division by zero is not defined. Multiply both sides of the equation by $3x+8$.

$$5x+11=4\left(3x+8\right)$$

Use the distributive property to multiply $4$ by $3x+8$.

$$5x+11=12x+32$$

Subtract $12x$ from both sides.

$$5x+11-12x=32$$

Combine $5x$ and $-12x$ to get $-7x$.

$$-7x+11=32$$

Subtract $11$ from both sides.

$$-7x=32-11$$

Subtract $11$ from $32$ to get $21$.

$$-7x=21$$

Divide both sides by $-7$.

$$x=\frac{21}{-7}$$

Divide $21$ by $-7$ to get $-3$.

$$x=-3$$