Solve 5x-4*(10-x)=2*(x-2)+3x

$$5 x - 4 \cdot ( 10 - x ) = 2 \cdot ( x - 2 ) + 3 x$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 10-x.

$$5x-40+4x=2\left(x-2\right)+3x$$

Combine 5x and 4x to get 9x.

$$9x-40=2\left(x-2\right)+3x$$

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

$$9x-40=2x-4+3x$$

Combine 2x and 3x to get 5x.

$$9x-40=5x-4$$

Subtract 5x from both sides.

$$9x-40-5x=-4$$

Combine 9x and -5x to get 4x.

$$4x-40=-4$$

Add 40 to both sides.

$$4x=-4+40$$

Add -4 and 40 to get 36.

$$4x=36$$

Divide both sides by 4.

$$x=\frac{36}{4}$$

Divide 36 by 4 to get 9.

$$x=9$$