Solve 5x+2(x-2)=13-3(x-1)

$$5 x + 2 ( x - 2 ) = 13 - 3 ( x - 1 )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$5x+2x-4=13-3\left(x-1\right)$$

Combine 5x and 2x to get 7x.

$$7x-4=13-3\left(x-1\right)$$

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

$$7x-4=13-3x+3$$

Add 13 and 3 to get 16.

$$7x-4=16-3x$$

Add 3x to both sides.

$$7x-4+3x=16$$

Combine 7x and 3x to get 10x.

$$10x-4=16$$

Add 4 to both sides.

$$10x=16+4$$

Add 16 and 4 to get 20.

$$10x=20$$

Divide both sides by 10.

$$x=\frac{20}{10}$$

Divide 20 by 10 to get 2.

$$x=2$$