Solve 0.3(x-5)=0.7(x+3)

$$0.3 ( x - 5 ) = 0.7 ( x + 3 )$$

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.3 by x-5.

$$0.3x-1.5=0.7\left(x+3\right)$$

Use the distributive property to multiply 0.7 by x+3.

$$0.3x-1.5=0.7x+2.1$$

Subtract 0.7x from both sides.

$$0.3x-1.5-0.7x=2.1$$

Combine 0.3x and -0.7x to get -0.4x.

$$-0.4x-1.5=2.1$$

Add 1.5 to both sides.

$$-0.4x=2.1+1.5$$

Add 2.1 and 1.5 to get 3.6.

$$-0.4x=3.6$$

Divide both sides by -0.4.

$$x=\frac{3.6}{-0.4}$$

Expand \frac{3.6}{-0.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{36}{-4}$$

Divide 36 by -4 to get -9.

$$x=-9$$