Answer: [tex]x=4[/tex]
Step-by-step explanation:
[tex]2x-7+x=5[/tex]
Group like terms:
[tex]\left(2x+x\right)-7=5[/tex]
Simplify the arithmetic:
[tex]3x-7=5[/tex]
Add 7 to both sides:
[tex]3x-7+7=5+7[/tex]
Simplify the arithmetic:
[tex]3x=5+7[/tex]
Simplify the arithmetic:
[tex]3x=12[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
Simplify the fraction:
[tex]x=\frac{12}{3}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]x=\frac{4\cdot 3}{1\cdot 3}[/tex]
Factor out and cancel the greatest common factor and the answer will be:
[tex]x=4[/tex]
