Solve 3(2x-7)-5(x-8)=-4(x+2)

$$3 ( 2 x - 7 ) - 5 ( x - 8 ) = - 4 ( x + 2 )$$

Solve for x

$$x = -\frac{27}{5} = -5\frac{2}{5} = -5.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-7.

$$6x-21-5\left(x-8\right)=-4\left(x+2\right)$$

Use the distributive property to multiply -5 by x-8.

$$6x-21-5x+40=-4\left(x+2\right)$$

Combine 6x and -5x to get x.

$$x-21+40=-4\left(x+2\right)$$

Add -21 and 40 to get 19.

$$x+19=-4\left(x+2\right)$$

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

$$x+19=-4x-8$$

Add 4x to both sides.

$$x+19+4x=-8$$

Combine x and 4x to get 5x.

$$5x+19=-8$$

Subtract 19 from both sides.

$$5x=-8-19$$

Subtract 19 from -8 to get -27.

$$5x=-27$$

Divide both sides by 5.

$$x=\frac{-27}{5}$$

Fraction \frac{-27}{5} can be rewritten as -\frac{27}{5} by extracting the negative sign.

$$x=-\frac{27}{5}$$