Solve 0.12(x-5)-2.3=0.5(2x+3)

$$0.12(x-5)-2.3=0.5(2x+3)$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.12 by x-5.

$$0.12x-0.6-2.3=0.5\left(2x+3\right)$$

Subtract 2.3 from -0.6 to get -2.9.

$$0.12x-2.9=0.5\left(2x+3\right)$$

Use the distributive property to multiply 0.5 by 2x+3.

$$0.12x-2.9=x+1.5$$

Subtract x from both sides.

$$0.12x-2.9-x=1.5$$

Combine 0.12x and -x to get -0.88x.

$$-0.88x-2.9=1.5$$

Add 2.9 to both sides.

$$-0.88x=1.5+2.9$$

Add 1.5 and 2.9 to get 4.4.

$$-0.88x=4.4$$

Divide both sides by -0.88.

$$x=\frac{4.4}{-0.88}$$

Expand \frac{4.4}{-0.88} by multiplying both numerator and the denominator by 100.

$$x=\frac{440}{-88}$$

Divide 440 by -88 to get -5.

$$x=-5$$