Solve 4-7(2x-3)=3x-4(3x-5)

$$4 - 7 ( 2 x - 3 ) = 3 x - 4 ( 3 x - 5 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by 2x-3.

$$4-14x+21=3x-4\left(3x-5\right)$$

Add 4 and 21 to get 25.

$$25-14x=3x-4\left(3x-5\right)$$

Use the distributive property to multiply -4 by 3x-5.

$$25-14x=3x-12x+20$$

Combine 3x and -12x to get -9x.

$$25-14x=-9x+20$$

Add 9x to both sides.

$$25-14x+9x=20$$

Combine -14x and 9x to get -5x.

$$25-5x=20$$

Subtract 25 from both sides.

$$-5x=20-25$$

Subtract 25 from 20 to get -5.

$$-5x=-5$$

Divide both sides by -5.

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

Divide -5 by -5 to get 1.

$$x=1$$