Solve x+7=3(x-32)

$$x+7=3(x-32)$$

Solve for x

$$x = \frac{103}{2} = 51\frac{1}{2} = 51.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-32.

$$x+7=3x-96$$

Subtract 3x from both sides.

$$x+7-3x=-96$$

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

$$-2x+7=-96$$

Subtract 7 from both sides.

$$-2x=-96-7$$

Subtract 7 from -96 to get -103.

$$-2x=-103$$

Divide both sides by -2.

$$x=\frac{-103}{-2}$$

Fraction \frac{-103}{-2} can be simplified to \frac{103}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{103}{2}$$