Solve the equation. show your work. 4-2(x+7)=3(x+5)

x = -5

Step-by-step explanation:

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x=-5

Step-by-step explanation:

Simplifying

4 + -2(x + 7) = 3(x + 5)

Reorder the terms:

4 + -2(7 + x) = 3(x + 5)

4 + (7 * -2 + x * -2) = 3(x + 5)

4 + (-14 + -2x) = 3(x + 5)

Combine like terms: 4 + -14 = -10

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

Reorder the terms:

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

-10 + -2x = (5 * 3 + x * 3)

-10 + -2x = (15 + 3x)

Solving

-10 + -2x = 15 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-10 + -2x + -3x = 15 + 3x + -3x

Combine like terms: -2x + -3x = -5x

-10 + -5x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0

-10 + -5x = 15 + 0

-10 + -5x = 15

Add '10' to each side of the equation.

-10 + 10 + -5x = 15 + 10

Combine like terms: -10 + 10 = 0

0 + -5x = 15 + 10

-5x = 15 + 10

Combine like terms: 15 + 10 = 25

-5x = 25

Divide each side by '-5'.

x = -5

Simplifying

x = -5

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584