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Solve for x. 9x + 7 - 3 - 4x = -26

Sagot :

Starting with the equation:

[tex]9x+7-3-4x=-26[/tex]

Rewrite using the commutative property of addition to bring together similar terms:

[tex]9x-4x+7-3=-26[/tex]

Add like terms on the left hand side of the equation:

[tex]5x+4=-26[/tex]

Substract 4 fom both sides of the equation:

[tex]\begin{gathered} 5x=-26-4 \\ =-30 \end{gathered}[/tex]

Divide both sides by 5:

[tex]\begin{gathered} x=-\frac{30}{5} \\ =-6 \end{gathered}[/tex]

Plug in the value of x=-6 into the original equation to check your answer:

[tex]\begin{gathered} 9x+7-3-4x=-26 \\ \Rightarrow9(-6)+7-3-4(-6)=-26 \\ \Rightarrow-54+7-3+24=-26 \\ \Rightarrow-26=-26 \end{gathered}[/tex]

Therefore:

[tex]x=-6[/tex]

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