Solve 0.7*x+0.1*3=0.4*(x+3)

$$0.7 \cdot x + 0.1 \cdot 3 = 0.4 \cdot ( x + 3 )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply 0.1 and 3 to get 0.3.

$$0.7x+0.3=0.4\left(x+3\right)$$

Use the distributive property to multiply 0.4 by x+3.

$$0.7x+0.3=0.4x+1.2$$

Subtract 0.4x from both sides.

$$0.7x+0.3-0.4x=1.2$$

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

$$0.3x+0.3=1.2$$

Subtract 0.3 from both sides.

$$0.3x=1.2-0.3$$

Subtract 0.3 from 1.2 to get 0.9.

$$0.3x=0.9$$

Divide both sides by 0.3.

$$x=\frac{0.9}{0.3}$$

Expand \frac{0.9}{0.3} by multiplying both numerator and the denominator by 10.

$$x=\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$x=3$$