Solve x-3left(5x-4right)+2left(x+7right)=0

$$x-3 \left( 5x-4 \right) +2 \left( x+7 \right) = 0$$

Solve for x

$$x = \frac{13}{6} = 2\frac{1}{6} \approx 2.166666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 5x-4.

$$x-15x+12+2\left(x+7\right)=0$$

Combine x and -15x to get -14x.

$$-14x+12+2\left(x+7\right)=0$$

Use the distributive property to multiply 2 by x+7.

$$-14x+12+2x+14=0$$

Combine -14x and 2x to get -12x.

$$-12x+12+14=0$$

Add 12 and 14 to get 26.

$$-12x+26=0$$

Subtract 26 from both sides. Anything subtracted from zero gives its negation.

$$-12x=-26$$

Divide both sides by -12.

$$x=\frac{-26}{-12}$$

Reduce the fraction \frac{-26}{-12} to lowest terms by extracting and canceling out -2.

$$x=\frac{13}{6}$$