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24 votes
24 votes
-3 (x - 6) + 4 (x + 1 ) = 7x -8

User Billtian
by
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1 Answer

27 votes
27 votes

To solve for x in the equation:

-3 (x - 6) + 4 (x + 1 ) = 7x - 8​

you can follow these steps:

1. apply the distributive property on the left side of the equation:

-3 *x -(-3)* 6 + 4 * x + 4 * 1 = 7x - 8

-3x + 18 + 4x + 4 = 7x - 8

2. Combine like terms:

-3x + 18 + 4x + 4 = 7x - 8

-3x +4x +18 +4 = 7x -8

x + 22 = 7x - 8

3. Subtract x on both sides of the equation:

x + 22 = 7x - 8

x + 22 - x = 7x - 8 - x

x - x + 22 = 7x - x -8

22 = 6x -8

4. add 8 on both sides of the equation:

22 = 6x -8

22 + 8 = 6x -8 + 8

30 = 6x

5. Divide both sides of the equation by 6:

30/6 = 6x/6

5 = x

x = 5

Then, x equals 5

User Jody Bleyle
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3.5k points