Solve 2x-5(3x-7)+8=0

$$2x-5(3x-7)+8=0$$

Solve for x

$$x = \frac{43}{13} = 3\frac{4}{13} \approx 3.307692308$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 3x-7.

$$2x-15x+35+8=0$$

Combine 2x and -15x to get -13x.

$$-13x+35+8=0$$

Add 35 and 8 to get 43.

$$-13x+43=0$$

Subtract 43 from both sides. Anything subtracted from zero gives its negation.

$$-13x=-43$$

Divide both sides by -13.

$$x=\frac{-43}{-13}$$

Fraction \frac{-43}{-13} can be simplified to \frac{43}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{43}{13}$$