Solve 4(x-0.9)=2x-3

$$4 ( x - 0.9 ) = 2 x - 3$$

Solve for x

$$x=0.3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x-0.9.

$$4x-3.6=2x-3$$

Subtract 2x from both sides.

$$4x-3.6-2x=-3$$

Combine 4x and -2x to get 2x.

$$2x-3.6=-3$$

Add 3.6 to both sides.

$$2x=-3+3.6$$

Add -3 and 3.6 to get 0.6.

$$2x=0.6$$

Divide both sides by 2.

$$x=\frac{0.6}{2}$$

Expand \frac{0.6}{2} by multiplying both numerator and the denominator by 10.

$$x=\frac{6}{20}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$x=\frac{3}{10}$$