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

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

Solve for x

$$x=\frac{5}{7}\approx 0.714285714$$

Steps for Solving Linear Equation

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

$$1-2x+8=4x-3\left(2-5x\right)$$

Add 1 and 8 to get 9.

$$9-2x=4x-3\left(2-5x\right)$$

Use the distributive property to multiply -3 by 2-5x.

$$9-2x=4x-6+15x$$

Combine 4x and 15x to get 19x.

$$9-2x=19x-6$$

Subtract 19x from both sides.

$$9-2x-19x=-6$$

Combine -2x and -19x to get -21x.

$$9-21x=-6$$

Subtract 9 from both sides.

$$-21x=-6-9$$

Subtract 9 from -6 to get -15.

$$-21x=-15$$

Divide both sides by -21.

$$x=\frac{-15}{-21}$$

Reduce the fraction \frac{-15}{-21} to lowest terms by extracting and canceling out -3.

$$x=\frac{5}{7}$$