Solve 0.12x+(0.5+x/2)=x/3+1.5

$$0.12 x + ( \frac { 0.5 + x } { 2 } ) = \frac { x } { 3 } + 1.5$$

Solve for x

$$x = \frac{375}{86} = 4\frac{31}{86} \approx 4.360465116$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$0.72x+3\left(0.5+x\right)=2x+9$$

Use the distributive property to multiply 3 by 0.5+x.

$$0.72x+1.5+3x=2x+9$$

Combine 0.72x and 3x to get 3.72x.

$$3.72x+1.5=2x+9$$

Subtract 2x from both sides.

$$3.72x+1.5-2x=9$$

Combine 3.72x and -2x to get 1.72x.

$$1.72x+1.5=9$$

Subtract 1.5 from both sides.

$$1.72x=9-1.5$$

Subtract 1.5 from 9 to get 7.5.

$$1.72x=7.5$$

Divide both sides by 1.72.

$$x=\frac{7.5}{1.72}$$

Expand \frac{7.5}{1.72} by multiplying both numerator and the denominator by 100.

$$x=\frac{750}{172}$$

Reduce the fraction \frac{750}{172} to lowest terms by extracting and canceling out 2.

$$x=\frac{375}{86}$$