Solve 0.3(0.2x+1)=0.4(0.5x-1)

$$0.3 ( 0.2 x + 1 ) = 0.4 ( 0.5 x - 1 )$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.3 by 0.2x+1.

$$0.06x+0.3=0.4\left(0.5x-1\right)$$

Use the distributive property to multiply 0.4 by 0.5x-1.

$$0.06x+0.3=0.2x-0.4$$

Subtract 0.2x from both sides.

$$0.06x+0.3-0.2x=-0.4$$

Combine 0.06x and -0.2x to get -0.14x.

$$-0.14x+0.3=-0.4$$

Subtract 0.3 from both sides.

$$-0.14x=-0.4-0.3$$

Subtract 0.3 from -0.4 to get -0.7.

$$-0.14x=-0.7$$

Divide both sides by -0.14.

$$x=\frac{-0.7}{-0.14}$$

Expand \frac{-0.7}{-0.14} by multiplying both numerator and the denominator by 100.

$$x=\frac{-70}{-14}$$

Divide -70 by -14 to get 5.

$$x=5$$