Solve 12-5(x+1)=2x-5

$$12 - 5 ( x + 1 ) = 2 x - 5$$

Solve for x

$$x = \frac{12}{7} = 1\frac{5}{7} \approx 1.714285714$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x+1.

$$12-5x-5=2x-5$$

Subtract 5 from 12 to get 7.

$$7-5x=2x-5$$

Subtract 2x from both sides.

$$7-5x-2x=-5$$

Combine -5x and -2x to get -7x.

$$7-7x=-5$$

Subtract 7 from both sides.

$$-7x=-5-7$$

Subtract 7 from -5 to get -12.

$$-7x=-12$$

Divide both sides by -7.

$$x=\frac{-12}{-7}$$

Fraction \frac{-12}{-7} can be simplified to \frac{12}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{12}{7}$$