Solve ((x+12)*4div2+12*6div2)*7=504

$$((x+12) \times 4 \div 2+12 \times 6 \div 2) \times 7=504$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Divide both sides by 7.

$$\frac{\left(x+12\right)\times 4}{2}+\frac{12\times 6}{2}=\frac{504}{7}$$

Divide 504 by 7 to get 72.

$$\frac{\left(x+12\right)\times 4}{2}+\frac{12\times 6}{2}=72$$

Multiply both sides of the equation by 2.

$$\left(x+12\right)\times 4+12\times 6=144$$

Use the distributive property to multiply x+12 by 4.

$$4x+48+12\times 6=144$$

Multiply 12 and 6 to get 72.

$$4x+48+72=144$$

Add 48 and 72 to get 120.

$$4x+120=144$$

Subtract 120 from both sides.

$$4x=144-120$$

Subtract 120 from 144 to get 24.

$$4x=24$$

Divide both sides by 4.

$$x=\frac{24}{4}$$

Divide 24 by 4 to get 6.

$$x=6$$