Solve 3(x+4)=5(x+7)

$$3 ( x + 4 ) = 5 ( x + 7 )$$

Solve for x

$$x = -\frac{23}{2} = -11\frac{1}{2} = -11.5$$

Steps for Solving Linear Equation

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

$$3x+12=5\left(x+7\right)$$

Use the distributive property to multiply 5 by x+7.

$$3x+12=5x+35$$

Subtract 5x from both sides.

$$3x+12-5x=35$$

Combine 3x and -5x to get -2x.

$$-2x+12=35$$

Subtract 12 from both sides.

$$-2x=35-12$$

Subtract 12 from 35 to get 23.

$$-2x=23$$

Divide both sides by -2.

$$x=\frac{23}{-2}$$

Fraction \frac{23}{-2} can be rewritten as -\frac{23}{2} by extracting the negative sign.

$$x=-\frac{23}{2}$$