Solve (2x+4)/(2x+4)+7/(2x+4)=6 | 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

$$(2x+4)/(2x+4)+7/(2x+4)=6$$

Solve for x

$x = -\frac{13}{10} = -1\frac{3}{10} = -1.3$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-2$ since division by zero is not defined. Multiply both sides of the equation by $2\left(x+2\right)$.

$$2x+4+7=12\left(x+2\right)$$

Add $4$ and $7$ to get $11$.

$$2x+11=12\left(x+2\right)$$

Use the distributive property to multiply $12$ by $x+2$.

$$2x+11=12x+24$$

Subtract $12x$ from both sides.

$$2x+11-12x=24$$

Combine $2x$ and $-12x$ to get $-10x$.

$$-10x+11=24$$

Subtract $11$ from both sides.

$$-10x=24-11$$

Subtract $11$ from $24$ to get $13$.

$$-10x=13$$

Divide both sides by $-10$.

$$x=\frac{13}{-10}$$

Fraction $\frac{13}{-10}$ can be rewritten as $-\frac{13}{10}$ by extracting the negative sign.

$$x=-\frac{13}{10}$$