Question

3x+2(x-4)=x-14 I have to solve the equation​

Answer 1

Step-by-step explanation:

3x+2x-8=x-14

5x-8=x-14

4x=-6

x=-3/2

Answer 2

Answer:

$\Large\boxed{X=-\frac{3}{2}, \quad X=-1.5 }$

Step-by-step explanation:

GIVEN:

3x+2(x-4)=x-14

Isolate by the x on one side of the equation.

SOLUTIONS:

First, expand by using with distributive property.

$\Large\boxed{\textnormal{DISTRIBUTIVE PROPERTY}}$

$\Large\boxed{\textnormal{A(B+C)=AB+AC}}$

2(x-4)

A=2

B=X

C=4

2*x=2x

2*4=8

$\displaystyle 2x-8$

Rewrite the problem down.

$\displaystyle 3x+2x-8=x-14$

Add the numbers from left to right.

Add similar elements to the numbers from left to right.

$\displaystyle 3+2=5$

$\displaystyle 5x-8=x-14$

You have to add by 8 from both sides.

$\displaystyle 5x-8+8=x-14+8$

Solve.

$\displaystyle 14-8=6$

$\displaystyle 5x=x-6$

Then, you subtract x from both sides.

$\displaystyle 5x-x=x-6-x$

Solve.

$\displaystyle 4x=-6$

Divide by 4 from both sides of an equation.

$\displaystyle \frac{4x}{4}=\frac{-6}{4}$

Solve. (Simplify/ find the solutions/ and refine.)

Divide by 2 from numerator and denominator.

$\displaystyle -6\div2=\boxed{3}, \quad 4\div2=\boxed{2}$

$\Large\boxed{X=-\frac{3}{2}, \quad X=-1.5 }$

The correct answer is x=-3/2 and x=-1.5