Solve 7-(3x+2)-(11+2x)=10x-6

$$7 - ( 3 x + 2 ) - ( 11 + 2 x ) = 10 x - 6$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

To find the opposite of 3x+2, find the opposite of each term.

$$7-3x-2-\left(11+2x\right)=10x-6$$

Subtract 2 from 7 to get 5.

$$5-3x-\left(11+2x\right)=10x-6$$

To find the opposite of 11+2x, find the opposite of each term.

$$5-3x-11-2x=10x-6$$

Subtract 11 from 5 to get -6.

$$-6-3x-2x=10x-6$$

Combine -3x and -2x to get -5x.

$$-6-5x=10x-6$$

Subtract 10x from both sides.

$$-6-5x-10x=-6$$

Combine -5x and -10x to get -15x.

$$-6-15x=-6$$

Add 6 to both sides.

$$-15x=-6+6$$

Add -6 and 6 to get 0.

$$-15x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -15 is not equal to 0, x must be equal to 0.

$$x=0$$