Solve 2(x-1)+5=3(x-1)-7

$$2 ( x - 1 ) + 5 = 3 ( x - 1 ) - 7$$

Solve for x

$$x=13$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-1.

$$2x-2+5=3\left(x-1\right)-7$$

Add -2 and 5 to get 3.

$$2x+3=3\left(x-1\right)-7$$

Use the distributive property to multiply 3 by x-1.

$$2x+3=3x-3-7$$

Subtract 7 from -3 to get -10.

$$2x+3=3x-10$$

Subtract 3x from both sides.

$$2x+3-3x=-10$$

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

$$-x+3=-10$$

Subtract 3 from both sides.

$$-x=-10-3$$

Subtract 3 from -10 to get -13.

$$-x=-13$$

Multiply both sides by -1.

$$x=13$$