Solve 429=left(x-4right)10*7+4*11*7

$$429 = \left( x-4 \right) 10 \times 7+4 \times 11 \times 7$$

Solve for x

$$x = \frac{401}{70} = 5\frac{51}{70} \approx 5.728571429$$

Steps for Solving Linear Equation

Multiply 10 and 7 to get 70.

$$429=\left(x-4\right)\times 70+4\times 11\times 7$$

Use the distributive property to multiply x-4 by 70.

$$429=70x-280+4\times 11\times 7$$

Multiply 4 and 11 to get 44.

$$429=70x-280+44\times 7$$

Multiply 44 and 7 to get 308.

$$429=70x-280+308$$

Add -280 and 308 to get 28.

$$429=70x+28$$

Swap sides so that all variable terms are on the left hand side.

$$70x+28=429$$

Subtract 28 from both sides.

$$70x=429-28$$

Subtract 28 from 429 to get 401.

$$70x=401$$

Divide both sides by 70.

$$x=\frac{401}{70}$$