Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]-7(x-3)=x+5[/tex]
Distribute the [tex]-7[/tex] into [tex](x-3)[/tex]:
[tex]-7x+21=x+5[/tex]
Subtract [tex]x[/tex] from both sides of the equation:
[tex]-8x+21=5[/tex]
Subtract [tex]21[/tex] from both sides of the equation:
[tex]-8x=-16[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]-8[/tex]:
[tex]x=2[/tex]
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Check your work by substituting [tex]2[/tex] into the initial equation:
[tex]-7(2-3)=2+5[/tex]
[tex]-14+21=2+5[/tex]
[tex]7=7[/tex]
The answer is correct!
