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Mathematics
Gummi Bear
23 June, 19:47
Solve for x.
6 - 3 (2x - 4) = 2 (1 + x)
A. - 2
B. o
C. - 1
D. 2
+2
Answers (
1
)
Krista Khan
23 June, 20:43
0
Answer: D) X = 2
Step-by-step explanation:
1) Reorder the terms:
6 + - 3 (-4 + 2x) = 2 (1 + x)
6 + (-4 * - 3 + 2x * - 3) = 2 (1 + x)
6 + (12 + - 6x) = 2 (1 + x)
2) Combine like terms: 6 + 12 = 18
18 + - 6x = 2 (1 + x)
18 + - 6x = (1 * 2 + x * 2)
18 + - 6x = (2 + 2x)
3) Solving
18 + - 6x = 2 + 2x
4) Solving for variable 'x'.
5) Move all terms containing x to the left, all other terms to the right.
6) Add '-2x' to each side of the equation.
18 + - 6x + - 2x = 2 + 2x + - 2x
7) Combine like terms: - 6x + - 2x = - 8x
18 + - 8x = 2 + 2x + - 2x
8) Combine like terms: 2x + - 2x = 0
18 + - 8x = 2 + 0
18 + - 8x = 2
9) Add '-18' to each side of the equation.
18 + - 18 + - 8x = 2 + - 18
10) Combine like terms: 18 + - 18 = 0
0 + - 8x = 2 + - 18
-8x = 2 + - 18
11) Combine like terms: 2 + - 18 = - 16
-8x = - 16
12) Divide each side by '-8'.
x = 2
13) Simplifying
x = 2
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