Solve 1.3*6+0,7x=1,1*(6+x)

$$1.3 \cdot 6 + 0,7 x = 1,1 \cdot ( 6 + x )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply 1.3 and 6 to get 7.8.

$$7.8+0.7x=1.1\left(6+x\right)$$

Use the distributive property to multiply 1.1 by 6+x.

$$7.8+0.7x=6.6+1.1x$$

Subtract 1.1x from both sides.

$$7.8+0.7x-1.1x=6.6$$

Combine 0.7x and -1.1x to get -0.4x.

$$7.8-0.4x=6.6$$

Subtract 7.8 from both sides.

$$-0.4x=6.6-7.8$$

Subtract 7.8 from 6.6 to get -1.2.

$$-0.4x=-1.2$$

Divide both sides by -0.4.

$$x=\frac{-1.2}{-0.4}$$

Expand \frac{-1.2}{-0.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-12}{-4}$$

Divide -12 by -4 to get 3.

$$x=3$$