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Schach [20]
4 years ago
6

Solve for x 4(2x+3)=-6+5x

Mathematics
2 answers:
ra1l [238]4 years ago
6 0

Answer:

x = -6

Step-by-step explanation:

babunello [35]4 years ago
5 0

4(2x+3)=-6+5x

Multiply the bracket by 4

(4)(2x)(4)(3)=-6+5x

8x+12=5x-6

Move 5x to the other side. Sign changes from +5x to -5x.

8x-5x+12=5x-5x-6

8x-5x+12=-6

3x+12=-6

Move 12 to the other side. Sign changes from +12 to -12.

3x+12-12=-6-12

3x=-18

Divide by 3 for both sides

3x/3=-18/3

Cross out 3 and 3, divide by 3 and then becomes x

x=-6

Answer: x=-6

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Slope = 2/5; passes through (-3,1)
nydimaria [60]
Presumably we're after the line with that slope through that point.  In general the line through (a,b) with slope m is 

y-b = m(x-a)

Here we have a=-3, b=1, m=\frac 2 5

y - 1 = \frac 2 5 (x--3)

y = \frac 2 5 x + \frac 6 5 + 1

y = \frac 2 5 x + \frac{11}{5}

Check: The slope is clearly  \frac 2 5
 so we check

y = \frac 2 5 (-3) +\frac{11}{5} = \frac 5 5 = 1 \quad\checkmark


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