Solve 5(x-2)-4(3x-4)=0

$$5 ( x - 2 ) - 4 ( 3 x - 4 ) = 0$$

Solve for x

$$x=\frac{6}{7}\approx 0.857142857$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-2.

$$5x-10-4\left(3x-4\right)=0$$

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

$$5x-10-12x+16=0$$

Combine 5x and -12x to get -7x.

$$-7x-10+16=0$$

Add -10 and 16 to get 6.

$$-7x+6=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$-7x=-6$$

Divide both sides by -7.

$$x=\frac{-6}{-7}$$

Fraction \frac{-6}{-7} can be simplified to \frac{6}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{6}{7}$$