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

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

Solve for x

$$x=\frac{1}{9}\approx 0.111111111$$

Steps for Solving Linear Equation

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

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

Add 4 and 21 to get 25.

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

Use the distributive property to multiply 4 by x+5.

$$25-14x=3+4x+20$$

Add 3 and 20 to get 23.

$$25-14x=23+4x$$

Subtract 4x from both sides.

$$25-14x-4x=23$$

Combine -14x and -4x to get -18x.

$$25-18x=23$$

Subtract 25 from both sides.

$$-18x=23-25$$

Subtract 25 from 23 to get -2.

$$-18x=-2$$

Divide both sides by -18.

$$x=\frac{-2}{-18}$$

Reduce the fraction \frac{-2}{-18} to lowest terms by extracting and canceling out -2.

$$x=\frac{1}{9}$$