Solve 5x-2(3x-4)=25-3(5x+1)

$$5 x - 2 ( 3 x - 4 ) = 25 - 3 ( 5 x + 1 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$5x-6x+8=25-3\left(5x+1\right)$$

Combine 5x and -6x to get -x.

$$-x+8=25-3\left(5x+1\right)$$

Use the distributive property to multiply -3 by 5x+1.

$$-x+8=25-15x-3$$

Subtract 3 from 25 to get 22.

$$-x+8=22-15x$$

Add 15x to both sides.

$$-x+8+15x=22$$

Combine -x and 15x to get 14x.

$$14x+8=22$$

Subtract 8 from both sides.

$$14x=22-8$$

Subtract 8 from 22 to get 14.

$$14x=14$$

Divide both sides by 14.

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

Divide 14 by 14 to get 1.

$$x=1$$