Solve 2(x+7)=5(x-7)

$$2 ( x + 7 ) = 5 ( x - 7 )$$

Solve for x

$$x = \frac{49}{3} = 16\frac{1}{3} \approx 16.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+7.

$$2x+14=5\left(x-7\right)$$

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

$$2x+14=5x-35$$

Subtract 5x from both sides.

$$2x+14-5x=-35$$

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

$$-3x+14=-35$$

Subtract 14 from both sides.

$$-3x=-35-14$$

Subtract 14 from -35 to get -49.

$$-3x=-49$$

Divide both sides by -3.

$$x=\frac{-49}{-3}$$

Fraction \frac{-49}{-3} can be simplified to \frac{49}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{49}{3}$$