Solve 0.3(x-2)=0.4(x+2)+0

$$0.3 ( x - 2 ) = 0.4 ( x + 2 ) + 0$$

Solve for x

$$x=-14$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.3 by x-2.

$$0.3x-0.6=0.4\left(x+2\right)+0$$

Use the distributive property to multiply 0.4 by x+2.

$$0.3x-0.6=0.4x+0.8+0$$

Add 0.8 and 0 to get 0.8.

$$0.3x-0.6=0.4x+0.8$$

Subtract 0.4x from both sides.

$$0.3x-0.6-0.4x=0.8$$

Combine 0.3x and -0.4x to get -0.1x.

$$-0.1x-0.6=0.8$$

Add 0.6 to both sides.

$$-0.1x=0.8+0.6$$

Add 0.8 and 0.6 to get 1.4.

$$-0.1x=1.4$$

Divide both sides by -0.1.

$$x=\frac{1.4}{-0.1}$$

Expand \frac{1.4}{-0.1} by multiplying both numerator and the denominator by 10.

$$x=\frac{14}{-1}$$

Fraction \frac{14}{-1} can be rewritten as -14 by extracting the negative sign.

$$x=-14$$