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Please solve, -7x+8=-4(x+1)​

2 Answers

4 votes

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

User Jacob Hulse
by
8.4k points
4 votes

Answer:

x=4

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. :)

User Pedro Vanzella
by
8.9k points

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