Solve (7x-8*8)div4+2x=(12*7-5x)*2-38div2

$$(7x-8 \times 8) \div 4+2x=(12 \times 7-5x) \times 2-38 \div 2$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$7x-8\times 8+8x=4\left(12\times 7-5x\right)\times 2-2\times 38$$

Multiply 8 and 8 to get 64.

$$7x-64+8x=4\left(12\times 7-5x\right)\times 2-2\times 38$$

Combine 7x and 8x to get 15x.

$$15x-64=4\left(12\times 7-5x\right)\times 2-2\times 38$$

Multiply 12 and 7 to get 84.

$$15x-64=4\left(84-5x\right)\times 2-2\times 38$$

Multiply 4 and 2 to get 8.

$$15x-64=8\left(84-5x\right)-2\times 38$$

Use the distributive property to multiply 8 by 84-5x.

$$15x-64=672-40x-2\times 38$$

Multiply -2 and 38 to get -76.

$$15x-64=672-40x-76$$

Subtract 76 from 672 to get 596.

$$15x-64=596-40x$$

Add 40x to both sides.

$$15x-64+40x=596$$

Combine 15x and 40x to get 55x.

$$55x-64=596$$

Add 64 to both sides.

$$55x=596+64$$

Add 596 and 64 to get 660.

$$55x=660$$

Divide both sides by 55.

$$x=\frac{660}{55}$$

Divide 660 by 55 to get 12.

$$x=12$$