Solve for x. 5(x-10)=30-15x
Answer:
[tex]\boxed{\boxed{\sf x=4}}[/tex]
Step-by-step explanation:
[tex]\star \:\:\sf 5(x-10)=30-15x \: \:\star[/tex]
Expand:
[tex]\Longrightarrow \sf 5x-50=30-15x[/tex]
Add 50 to both sides:
[tex]\Longrightarrow \sf 5x-50+50=30-15x+50[/tex]
[tex]\Longrightarrow \sf 5x=-15x+80[/tex]
Add 15x to both sides:
[tex]\Longrightarrow \sf 5x+15x=-15x+80+15x[/tex]
[tex]\Longrightarrow \sf 20x=80[/tex]
Divide both sides by 20:
[tex]\Longrightarrow \sf \cfrac{20x}{20}=\cfrac{80}{20}[/tex]
[tex]\Longrightarrow \sf x=4[/tex]
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