Solve 18x+14(x-1)=1-15(3x+1)

$$18x+14(x-1)=1-15(3x+1)$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 14 by x-1.

$$18x+14x-14=1-15\left(3x+1\right)$$

Combine 18x and 14x to get 32x.

$$32x-14=1-15\left(3x+1\right)$$

Use the distributive property to multiply -15 by 3x+1.

$$32x-14=1-45x-15$$

Subtract 15 from 1 to get -14.

$$32x-14=-14-45x$$

Add 45x to both sides.

$$32x-14+45x=-14$$

Combine 32x and 45x to get 77x.

$$77x-14=-14$$

Add 14 to both sides.

$$77x=-14+14$$

Add -14 and 14 to get 0.

$$77x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 77 is not equal to 0, x must be equal to 0.

$$x=0$$