Respuesta :
Answer:
[tex]\bigcirc x=13[/tex]
Step-by-step explanation:
[tex]5\left(x+2\right)+x-3=2\left(x+12\right)+35[/tex]
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[tex]\bigcirc[/tex] [tex]5\left(x+2\right)+x-3[/tex]
Distribute
[tex]\longmapsto[/tex] [tex]5x+5\times \:2[/tex]
[tex]\longmapsto5x+10[/tex]
[tex]\longmapsto5x+10+x-3[/tex]
Combine like terms:
[tex]\longmapsto6x+7[/tex]
[tex]\bigcirc[/tex] [tex]2\left(x+12\right)+35[/tex]
[tex]\longmapsto[/tex] [tex]2x+24[/tex]
[tex]\longmapsto[/tex] [tex]2x+24+35[/tex]
[tex]\longmapsto2x+59[/tex]
[tex]\bigcirc[/tex] [tex]6x+7=2x+59[/tex]
Subtract 7 from both sides:
[tex]\longmapsto6x-2x=2x+52-2x[/tex]
[tex]\longmapsto6x=2x+52[/tex]
Subtract 2x from both sides:
[tex]\longmapsto6x-2x=2x+52-2x[/tex]
[tex]\longmapsto4x=52[/tex]
Divide both sides by 4:
[tex]\longmapsto\frac{4x}{4}=\frac{52}{4}[/tex]
[tex]\longmapsto x=13[/tex]
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