Solve 0.14-0.01(x+2)=-0.03(4-x)

$$0.14 - 0.01 ( x + 2 ) = - 0.03 ( 4 - x )$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -0.01 by x+2.

$$0.14-0.01x-0.02=-0.03\left(4-x\right)$$

Subtract 0.02 from 0.14 to get 0.12.

$$0.12-0.01x=-0.03\left(4-x\right)$$

Use the distributive property to multiply -0.03 by 4-x.

$$0.12-0.01x=-0.12+0.03x$$

Subtract 0.03x from both sides.

$$0.12-0.01x-0.03x=-0.12$$

Combine -0.01x and -0.03x to get -0.04x.

$$0.12-0.04x=-0.12$$

Subtract 0.12 from both sides.

$$-0.04x=-0.12-0.12$$

Subtract 0.12 from -0.12 to get -0.24.

$$-0.04x=-0.24$$

Divide both sides by -0.04.

$$x=\frac{-0.24}{-0.04}$$

Expand \frac{-0.24}{-0.04} by multiplying both numerator and the denominator by 100.

$$x=\frac{-24}{-4}$$

Divide -24 by -4 to get 6.

$$x=6$$