Question

Please solve, -7x+8=-4(x+1)​

Answer 1

Answer: $x=4$

Simplify both sides of the equation.

$-7x+8=-4(x+1)\\-7x+8=(-4)(x)+(-4)(1)(Distribute)\\-7x+8=-4x+-4$

Add 4x to both sides

$-7x+8+4x=-4x-4+4x\\-3x+8=-4$

Subtract 8 from both sides

$-3x+8-8=-4-8\\-3x=-12$

Divide both sides by -3

$-3x/-3=-12/-3\\x=4$

Answer 2

Answer:

x=4

Step-by-step explanation:

Let's first simplify the equation.  

-7x+8= -4x-4                    

You get -4x-4 by distributing the -4 into the numbers in the parenthesis because -4 is right outside the parenthesis.

-4 times x= -4x

-4 times 1= -4

-7x+8= -4x-4

Next, move the -4x to where the -7x is because we want to combine like terms.  When a number moves to the opposite side, it changes from positive to negative or negative to positive.  Like here: -4x moves to a different side, so it becomes +4x.  

-7x+4x+8= -4  

Do the same for 8.  Since -4 is on the other side, move 8 to that side.  It turns from +8 to -8.

-7x+4x= -4-8

Combine like terms and solve.  

-7x+4x= -3x

-4-8= -12

So we have this now: -3x= -12

Since 12 divided by 3 is 4, and negative with negative is positive, it becomes positive 4. :)