Solve -x+2(2-7x)-(10+9x)=3*10x+9

$$-x+2(2-7x)-(10+9x)=3 \times 10x+9$$

Solve for x

$$x=-\frac{5}{18}\approx -0.277777778$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 2-7x.

$$-x+4-14x-\left(10+9x\right)=3\times 10x+9$$

To find the opposite of 10+9x, find the opposite of each term.

$$-x+4-14x-10-9x=3\times 10x+9$$

Subtract 10 from 4 to get -6.

$$-x-6-14x-9x=3\times 10x+9$$

Combine -14x and -9x to get -23x.

$$-x-6-23x=3\times 10x+9$$

Multiply 3 and 10 to get 30.

$$-x-6-23x=30x+9$$

Subtract 30x from both sides.

$$-x-6-23x-30x=9$$

Combine -23x and -30x to get -53x.

$$-x-6-53x=9$$

Add 6 to both sides.

$$-x-53x=9+6$$

Add 9 and 6 to get 15.

$$-x-53x=15$$

Combine -x and -53x to get -54x.

$$-54x=15$$

Divide both sides by -54.

$$x=\frac{15}{-54}$$

Reduce the fraction \frac{15}{-54} to lowest terms by extracting and canceling out 3.

$$x=-\frac{5}{18}$$