Solve 2(x-5)-3(2x-4)=-1

$$2 ( x - 5 ) - 3 ( 2 x - 4 ) = - 1$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

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

$$2x-10-3\left(2x-4\right)=-1$$

Use the distributive property to multiply -3 by 2x-4.

$$2x-10-6x+12=-1$$

Combine 2x and -6x to get -4x.

$$-4x-10+12=-1$$

Add -10 and 12 to get 2.

$$-4x+2=-1$$

Subtract 2 from both sides.

$$-4x=-1-2$$

Subtract 2 from -1 to get -3.

$$-4x=-3$$

Divide both sides by -4.

$$x=\frac{-3}{-4}$$

Fraction \frac{-3}{-4} can be simplified to \frac{3}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{4}$$