Solve 5*(8x+1)+13x=6*(3x-4)

$$5 \cdot ( 8 x + 1 ) + 13 x = 6 \cdot ( 3 x - 4 )$$

Solve for x

$$x=-\frac{29}{35}\approx -0.828571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 8x+1.

$$40x+5+13x=6\left(3x-4\right)$$

Combine 40x and 13x to get 53x.

$$53x+5=6\left(3x-4\right)$$

Use the distributive property to multiply 6 by 3x-4.

$$53x+5=18x-24$$

Subtract 18x from both sides.

$$53x+5-18x=-24$$

Combine 53x and -18x to get 35x.

$$35x+5=-24$$

Subtract 5 from both sides.

$$35x=-24-5$$

Subtract 5 from -24 to get -29.

$$35x=-29$$

Divide both sides by 35.

$$x=\frac{-29}{35}$$

Fraction \frac{-29}{35} can be rewritten as -\frac{29}{35} by extracting the negative sign.

$$x=-\frac{29}{35}$$