Solve ((7/2x+x)*3)div2=7x-2

$$(( \frac{ 7 }{ 2 } x+x) \times 3) \div 2=7x-2$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$\left(\frac{7}{2}x+x\right)\times 3=14x-4$$

Combine \frac{7}{2}x and x to get \frac{9}{2}x.

$$\frac{9}{2}x\times 3=14x-4$$

Express \frac{9}{2}\times 3 as a single fraction.

$$\frac{9\times 3}{2}x=14x-4$$

Multiply 9 and 3 to get 27.

$$\frac{27}{2}x=14x-4$$

Subtract 14x from both sides.

$$\frac{27}{2}x-14x=-4$$

Combine \frac{27}{2}x and -14x to get -\frac{1}{2}x.

$$-\frac{1}{2}x=-4$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$x=-4\left(-2\right)$$

Multiply -4 and -2 to get 8.

$$x=8$$