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Blababa [14]
3 years ago
6

Solve the equation 3(x+4)=2x+4x-6 for x.

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

x=6

Step-by-step explanation:

Let us expand the left side:

3x+12 = 2x+ 4x -6

Let us then simplify the right side:

3x+12=6x-6

We can now put the same variables on one side to isolate x:

12+6=6x-3x

18=3x

x=6

<em>I hope this helped! :)</em>

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x = 20

Step-by-step explanation:

If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

\rm \longrightarrow \angle 2 =  \angle 5 \\  \\  \rm \longrightarrow 3x - 20 = x + 20 \\ \\ \rm Add \ 20 \ both \ sides:  \\  \rm \longrightarrow 3x - 20 + 20 = x + 20 + 20 \\  \\  \rm \longrightarrow 3x = x + 40 \\ \\ \rm Substrate \ x \ from \ both \ sides:  \\  \rm \longrightarrow 3x - x = x - x + 40 \\  \\  \rm \longrightarrow 2x = 40 \\ \\ \rm Divide \ both \ sides \ by \ 2: \\  \rm \longrightarrow  \frac{ \cancel{2}x }{ \cancel{2}}  =  \dfrac{40}{2}  \\  \\  \rm \longrightarrow x = 20

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