Solve 2-3(2-5x)-7x=10-2(3x-1)-3

$$2 - 3 ( 2 - 5 x ) - 7 x = 10 - 2 ( 3 x - 1 ) - 3$$

Solve for x

$$x=\frac{13}{14}\approx 0.928571429$$

Steps for Solving Linear Equation

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

$$2-6+15x-7x=10-2\left(3x-1\right)-3$$

Subtract 6 from 2 to get -4.

$$-4+15x-7x=10-2\left(3x-1\right)-3$$

Combine 15x and -7x to get 8x.

$$-4+8x=10-2\left(3x-1\right)-3$$

Use the distributive property to multiply -2 by 3x-1.

$$-4+8x=10-6x+2-3$$

Add 10 and 2 to get 12.

$$-4+8x=12-6x-3$$

Subtract 3 from 12 to get 9.

$$-4+8x=9-6x$$

Add 6x to both sides.

$$-4+8x+6x=9$$

Combine 8x and 6x to get 14x.

$$-4+14x=9$$

Add 4 to both sides.

$$14x=9+4$$

Add 9 and 4 to get 13.

$$14x=13$$

Divide both sides by 14.

$$x=\frac{13}{14}$$