Solve 2left(2+xright)-6-7x=13x-(1+4x)

$$2 \left( 2+x \right) -6-7x = 13x-(1+4x)$$

Solve for x

$$x=-\frac{1}{14}\approx -0.071428571$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 2+x.

$$4+2x-6-7x=13x-\left(1+4x\right)$$

Subtract 6 from 4 to get -2.

$$-2+2x-7x=13x-\left(1+4x\right)$$

Combine 2x and -7x to get -5x.

$$-2-5x=13x-\left(1+4x\right)$$

To find the opposite of 1+4x, find the opposite of each term.

$$-2-5x=13x-1-4x$$

Combine 13x and -4x to get 9x.

$$-2-5x=9x-1$$

Subtract 9x from both sides.

$$-2-5x-9x=-1$$

Combine -5x and -9x to get -14x.

$$-2-14x=-1$$

Add 2 to both sides.

$$-14x=-1+2$$

Add -1 and 2 to get 1.

$$-14x=1$$

Divide both sides by -14.

$$x=\frac{1}{-14}$$

Fraction \frac{1}{-14} can be rewritten as -\frac{1}{14} by extracting the negative sign.

$$x=-\frac{1}{14}$$