Find "x" for (2x+8) / 4 = (5x-13) / 3
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Answer:
Simplifying
2x + 8 = 5x + -13
Reorder the terms:
8 + 2x = 5x + -13
Reorder the terms:
8 + 2x = -13 + 5x
Solving
8 + 2x = -13 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
8 + 2x + -5x = -13 + 5x + -5x
Combine like terms: 2x + -5x = -3x
8 + -3x = -13 + 5x + -5x
Combine like terms: 5x + -5x = 0
8 + -3x = -13 + 0
8 + -3x = -13
Add '-8' to each side of the equation.
8 + -8 + -3x = -13 + -8
Combine like terms: 8 + -8 = 0
0 + -3x = -13 + -8
-3x = -13 + -8
Combine like terms: -13 + -8 = -21
-3x = -21
Divide each side by '-3'.
x = 7
Simplifying
x = 7
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