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Answer:
[tex]x=-44[/tex]
Step-by-step explanation:
[tex]3x+10=4x+54[/tex]
To solve for the variable [tex]x[/tex], start by subtracting [tex]3x[/tex] from both sides of the equation:
[tex]10=x+54[/tex]
Then, subtract [tex]54[/tex] from both sides of the equation:
[tex]-44=x[/tex]
Therefore, [tex]x=-44[/tex]
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To check your work, simply substitute the solved value of [tex]x[/tex] into the initial equation:
[tex]3(-44)+10=4(-44)+54[/tex]
Multiply:
[tex]-132+10=-176+54[/tex]
Add:
[tex]-122=-122[/tex]
Since both sides of the equation are equal to each other, our solution is correct!
Answer:
[tex] = > 3x + 10 = 4x + 54[/tex]
We need to get the x on the one side and the numbers on the other.
Subtract 3x from both sides:
[tex] = > 3x - 3x + 10 = 4x - 3x + 54[/tex]
[tex] = > 10 = x + 54[/tex]
Subtract 54 from both sides:
[tex] = > 10 - 54 = x + 54 - 54[/tex]
[tex] = > - 44 = x[/tex]
Thus,the value of x is -44.
For checking:
[tex] = > 3x + 10 = 4x + 54[/tex]
[tex] = > 3( - 44) + 10 = 4( - 44) + 54[/tex]
[tex] = > - 132 + 10 = - 176 + 54[/tex]
[tex] = > - 122 = - 122[/tex]