2(x/2+3)-3x=8-2(2x-5)
Answers
Answer:
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Answer:
Simplifying
2(x + 3) + -3x = 8 + -2(2x + -5)
Reorder the terms:
2(3 + x) + -3x = 8 + -2(2x + -5)
(3 * 2 + x * 2) + -3x = 8 + -2(2x + -5)
(6 + 2x) + -3x = 8 + -2(2x + -5)
Combine like terms: 2x + -3x = -1x
6 + -1x = 8 + -2(2x + -5)
Reorder the terms:
6 + -1x = 8 + -2(-5 + 2x)
6 + -1x = 8 + (-5 * -2 + 2x * -2)
6 + -1x = 8 + (10 + -4x)
Combine like terms: 8 + 10 = 18
6 + -1x = 18 + -4x
Solving
6 + -1x = 18 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
6 + -1x + 4x = 18 + -4x + 4x
Combine like terms: -1x + 4x = 3x
6 + 3x = 18 + -4x + 4x
Combine like terms: -4x + 4x = 0
6 + 3x = 18 + 0
6 + 3x = 18
Add '-6' to each side of the equation.
6 + -6 + 3x = 18 + -6
Combine like terms: 6 + -6 = 0
0 + 3x = 18 + -6
3x = 18 + -6
Combine like terms: 18 + -6 = 12
3x = 12
Divide each side by '3'.
x = 4
Simplifying
x = 4