solve :
5(x - 13) = 10x - (2x + 5)
Answers
Answer:
5( x - 13) = 10x - (2x + 5)
5x - 65 = 10x -2x - 5
5x - 65 = 8x - 5
5x - 8x = -5 + 65
-3x = 60
x = 60/ -3
x = -20
hope it's help ✌✌
Step-by-step explanation:
5[x + -13] = 10x + -1[2x + 5]
5[-13 + x] = 10x + -1[2x + 5]
[-13 * 5 + x * 5] = 10x + -1[2x + 5]
[-65 + 5x] = 10x + -1[2x + 5]
Reorder the terms:
-65 + 5x = 10x + -1[5 + 2x]
-65 + 5x = 10x + [5 * -1 + 2x * -1]
-65 + 5x = 10x + [-5 + -2x]
Reorder the terms:
-65 + 5x = -5 + 10x + -2x
Combine like terms: 10x + -2x = 8x
-65 + 5x = -5 + 8x
Solving
-65 + 5x = -5 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
-65 + 5x + -8x = -5 + 8x + -8x
Combine like terms: 5x + -8x = -3x
-65 + -3x = -5 + 8x + -8x
Combine like terms: 8x + -8x = 0
-65 + -3x = -5 + 0
-65 + -3x = -5
Add '65' to each side of the equation.
-65 + 65 + -3x = -5 + 65
Combine like terms: -65 + 65 = 0
0 + -3x = -5 + 65
-3x = -5 + 65
Combine like terms: -5 + 65 = 60
-3x = 60
Divide each side by '-3'.
x = -20
Simplifying
x = -20
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