Solve x-7*2-4:2=(40+6):4

$$x - 7 \cdot 2 - 4 : 2 = ( 40 + 6 ) : 4$$

Solve for x

$$x = \frac{55}{2} = 27\frac{1}{2} = 27.5$$

Steps for Solving Linear Equation

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

$$4\left(x-7\times 2\right)-2\times 4=40+6$$

Multiply 7 and 2 to get 14.

$$4\left(x-14\right)-2\times 4=40+6$$

Use the distributive property to multiply 4 by x-14.

$$4x-56-2\times 4=40+6$$

Multiply -2 and 4 to get -8.

$$4x-56-8=40+6$$

Subtract 8 from -56 to get -64.

$$4x-64=40+6$$

Add 40 and 6 to get 46.

$$4x-64=46$$

Add 64 to both sides.

$$4x=46+64$$

Add 46 and 64 to get 110.

$$4x=110$$

Divide both sides by 4.

$$x=\frac{110}{4}$$

Reduce the fraction \frac{110}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{55}{2}$$