Solve (17-2x)*3+49div7=(5x-6*4)div2+34div17

$$(17-2x) \times 3+49 \div 7=(5x-6 \times 4) \div 2+34 \div 17$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 238, the least common multiple of 7,2,17.

$$238\left(17-2x\right)\times 3+34\times 49=119\left(5x-6\times 4\right)+14\times 34$$

Multiply 238 and 3 to get 714.

$$714\left(17-2x\right)+34\times 49=119\left(5x-6\times 4\right)+14\times 34$$

Use the distributive property to multiply 714 by 17-2x.

$$12138-1428x+34\times 49=119\left(5x-6\times 4\right)+14\times 34$$

Multiply 34 and 49 to get 1666.

$$12138-1428x+1666=119\left(5x-6\times 4\right)+14\times 34$$

Add 12138 and 1666 to get 13804.

$$13804-1428x=119\left(5x-6\times 4\right)+14\times 34$$

Multiply 6 and 4 to get 24.

$$13804-1428x=119\left(5x-24\right)+14\times 34$$

Use the distributive property to multiply 119 by 5x-24.

$$13804-1428x=595x-2856+14\times 34$$

Multiply 14 and 34 to get 476.

$$13804-1428x=595x-2856+476$$

Add -2856 and 476 to get -2380.

$$13804-1428x=595x-2380$$

Subtract 595x from both sides.

$$13804-1428x-595x=-2380$$

Combine -1428x and -595x to get -2023x.

$$13804-2023x=-2380$$

Subtract 13804 from both sides.

$$-2023x=-2380-13804$$

Subtract 13804 from -2380 to get -16184.

$$-2023x=-16184$$

Divide both sides by -2023.

$$x=\frac{-16184}{-2023}$$

Divide -16184 by -2023 to get 8.

$$x=8$$