What is the value of x?
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X =

x = 3

Step-by-step explanation:

ok then, firstly, lets make line CB into y

sin45 / y = sin 90 / 6

in other words, as sin 90 = 1

y / sin45 = 6

y = sin 45 * 6 = 6 as sin 45 = root2/2, and root2 * root 2 = 2, so

6*2/2 = 6

we also know BCD is 30*, as angles in a tri add up to 180*

so, x/sin30 = 6/sin90 = 6

x/sin30 = 6

6*sin30 = x

x = 3 as sin 30 = 1/2

simplifying

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

reorder the terms:

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

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

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

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

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

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

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .