Solve 4x+2-5(x-2)=3/5+150

$$4x+2-5(x-2)= \frac{ 3 }{ 5 } +150$$

Solve for x

$$x = -\frac{693}{5} = -138\frac{3}{5} = -138.6$$

Steps for Solving Linear Equation

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

$$4x+2-5x+10=\frac{3}{5}+150$$

Combine 4x and -5x to get -x.

$$-x+2+10=\frac{3}{5}+150$$

Add 2 and 10 to get 12.

$$-x+12=\frac{3}{5}+150$$

Convert 150 to fraction \frac{750}{5}.

$$-x+12=\frac{3}{5}+\frac{750}{5}$$

Since \frac{3}{5} and \frac{750}{5} have the same denominator, add them by adding their numerators.

$$-x+12=\frac{3+750}{5}$$

Add 3 and 750 to get 753.

$$-x+12=\frac{753}{5}$$

Subtract 12 from both sides.

$$-x=\frac{753}{5}-12$$

Convert 12 to fraction \frac{60}{5}.

$$-x=\frac{753}{5}-\frac{60}{5}$$

Since \frac{753}{5} and \frac{60}{5} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{753-60}{5}$$

Subtract 60 from 753 to get 693.

$$-x=\frac{693}{5}$$

Multiply both sides by -1.

$$x=-\frac{693}{5}$$