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

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

Solve for x

$$x = \frac{6}{5} = 1\frac{1}{5} = 1.2$$

Steps for Solving Linear Equation

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

$$15x-25-4=4-5\left(5x-3\right)$$

Subtract 4 from -25 to get -29.

$$15x-29=4-5\left(5x-3\right)$$

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

$$15x-29=4-25x+15$$

Add 4 and 15 to get 19.

$$15x-29=19-25x$$

Add 25x to both sides.

$$15x-29+25x=19$$

Combine 15x and 25x to get 40x.

$$40x-29=19$$

Add 29 to both sides.

$$40x=19+29$$

Add 19 and 29 to get 48.

$$40x=48$$

Divide both sides by 40.

$$x=\frac{48}{40}$$

Reduce the fraction \frac{48}{40} to lowest terms by extracting and canceling out 8.

$$x=\frac{6}{5}$$