Solve 5(x-3)-4(x+2)=2+3(1-2x)

$$5(x-3)-4(x+2)=2+3(1-2x)$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-3.

$$5x-15-4\left(x+2\right)=2+3\left(1-2x\right)$$

Use the distributive property to multiply -4 by x+2.

$$5x-15-4x-8=2+3\left(1-2x\right)$$

Combine 5x and -4x to get x.

$$x-15-8=2+3\left(1-2x\right)$$

Subtract 8 from -15 to get -23.

$$x-23=2+3\left(1-2x\right)$$

Use the distributive property to multiply 3 by 1-2x.

$$x-23=2+3-6x$$

Add 2 and 3 to get 5.

$$x-23=5-6x$$

Add 6x to both sides.

$$x-23+6x=5$$

Combine x and 6x to get 7x.

$$7x-23=5$$

Add 23 to both sides.

$$7x=5+23$$

Add 5 and 23 to get 28.

$$7x=28$$

Divide both sides by 7.

$$x=\frac{28}{7}$$

Divide 28 by 7 to get 4.

$$x=4$$