solving linear equations

Algebra Level 1

Solve for x : x: 2 ( x + 10 ) − 5 ( 2 − x ) + 3 = 0 2(x + 10) - 5(2 - x) + 3 = 0

−13/7 32/6 -35 -15/7

Tootie Frootie by Tootie Frootie , 21, India

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4 solutions

Kate Garcia
Apr 14, 2014

2x + 20 - 10 + 5x + 3 = 0 7x + 13 = 0 7x + 13 - 13 = 0 - 13 (to isolate the 13, subtract 13 from both sides) 7x = -13 7x/7 = -13/7

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Prasun Biswas
Mar 13, 2014

The given equation is : 2 ( x + 10 ) − 5 ( 2 − x ) + 3 = 0 2(x+10)-5(2-x)+3=0 . So----->

2 ( x + 10 ) − 5 ( 2 − x ) + 3 = 0 2(x+10)-5(2-x)+3=0

⟹ 2 x + 20 − 10 + 5 x + 3 = 0 \implies 2x+20-10+5x+3=0

⟹ 7 x = ( − 13 ) ⟹ x = ( − 13 7 ) \implies 7x=(-13) \implies x=\boxed{(\frac{-13}{7})}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

right !!

Tootie Frootie - 7 years, 3 months ago
Sujit Kumar
Feb 23, 2014

2(x+10)-5(2-x)+3=0 7x+13=0 7x=-13 x=-13/7

1 Helpful 0 Interesting 0 Brilliant 0 Confused

correct

Tootie Frootie - 7 years, 3 months ago

I calculated this mentally. It took me a minute.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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