solve and verify: 5n-(3x-1)=x-4
Answers
Answer:
Simplifying
5x + -1(3x + -1) = x + -4
Reorder the terms:
5x + -1(-1 + 3x) = x + -4
5x + (-1 * -1 + 3x * -1) = x + -4
5x + (1 + -3x) = x + -4
Reorder the terms:
1 + 5x + -3x = x + -4
Combine like terms: 5x + -3x = 2x
1 + 2x = x + -4
Reorder the terms:
1 + 2x = -4 + x
Solving
1 + 2x = -4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
1 + 2x + -1x = -4 + x + -1x
Combine like terms: 2x + -1x = 1x
1 + 1x = -4 + x + -1x
Combine like terms: x + -1x = 0
1 + 1x = -4 + 0
1 + 1x = -4
Add '-1' to each side of the equation.
1 + -1 + 1x = -4 + -1
Combine like terms: 1 + -1 = 0
0 + 1x = -4 + -1
1x = -4 + -1
Combine like terms: -4 + -1 = -5
1x = -5
Divide each side by '1'.
x = -5
Simplifying
x = -5
Step-by-step explanation:
5n-(3x-1)=x-4
Keep all the variable in one side and constants another side
5n-(3x-1) = x-4
5n-2x -x = 4
Take the n as x itself
5x-2x-x = 4
3x-x = 4
x will be consided as 1
3x-x = 4
2x = 4
x = 4/2
x=2
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