Solve (5(3x+1)+5)-(-3x-2)=12

$$( 5 ( 3 x + 1 ) + 5 ) - ( - 3 x - 2 ) = 12$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 3x+1.

$$15x+5+5-\left(-3x-2\right)=12$$

Add 5 and 5 to get 10.

$$15x+10-\left(-3x-2\right)=12$$

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

$$15x+10-\left(-3x\right)-\left(-2\right)=12$$

The opposite of -3x is 3x.

$$15x+10+3x-\left(-2\right)=12$$

The opposite of -2 is 2.

$$15x+10+3x+2=12$$

Combine 15x and 3x to get 18x.

$$18x+10+2=12$$

Add 10 and 2 to get 12.

$$18x+12=12$$

Subtract 12 from both sides.

$$18x=12-12$$

Subtract 12 from 12 to get 0.

$$18x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 18 is not equal to 0, x must be equal to 0.

$$x=0$$