Solve (3x-8*5)div5+2x=6*(9*8-2x)-112div56

$$(3x-8 \times 5) \div 5+2x=6 \times (9 \times 8-2x)-112 \div 56$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 280, the least common multiple of 5,56.

$$56\left(3x-8\times 5\right)+560x=1680\left(9\times 8-2x\right)-5\times 112$$

Multiply 8 and 5 to get 40.

$$56\left(3x-40\right)+560x=1680\left(9\times 8-2x\right)-5\times 112$$

Use the distributive property to multiply 56 by 3x-40.

$$168x-2240+560x=1680\left(9\times 8-2x\right)-5\times 112$$

Combine 168x and 560x to get 728x.

$$728x-2240=1680\left(9\times 8-2x\right)-5\times 112$$

Multiply 9 and 8 to get 72.

$$728x-2240=1680\left(72-2x\right)-5\times 112$$

Use the distributive property to multiply 1680 by 72-2x.

$$728x-2240=120960-3360x-5\times 112$$

Multiply -5 and 112 to get -560.

$$728x-2240=120960-3360x-560$$

Subtract 560 from 120960 to get 120400.

$$728x-2240=120400-3360x$$

Add 3360x to both sides.

$$728x-2240+3360x=120400$$

Combine 728x and 3360x to get 4088x.

$$4088x-2240=120400$$

Add 2240 to both sides.

$$4088x=120400+2240$$

Add 120400 and 2240 to get 122640.

$$4088x=122640$$

Divide both sides by 4088.

$$x=\frac{122640}{4088}$$

Divide 122640 by 4088 to get 30.

$$x=30$$