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kudzordzifrancis
This is a linear equation in x.

So you need to group like terms

[tex]1 + 4x = - 5 + 7x[/tex]
Let us group the x terms on the Right Hand Side of the equation and the constant terms on the Left Hand Side.

[tex]1 + 5 = 7x - 4x[/tex]
We can now simplify

[tex]6 = 3x[/tex]
Now let us divide both sides by 3.

[tex] \frac{6}{3} = \frac{3x}{3} [/tex]

This implies that

[tex]2 = x[/tex]
or

[tex]x = 2[/tex]
Let us our answer

[tex]1 + 4(2) = - 5 + 7(2)[/tex]

[tex]1 + 8 = - 5 + 14[/tex]
[tex]9 = 9[/tex]
Good we are right
Belllle
Subtract 4x by 7x then you will get 3x

Add 5 to 1 which will be 6

Divide 3x by 3 to get x

Divide 6 by 3 to get 2

X=2

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