5(x+4)-(2x-1)=5

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Solution for 5(x+4)-(2x-1)=5 equation:


Simplifying
5(x + 4) + -1(2x + -1) = 5

Reorder the terms:
5(4 + x) + -1(2x + -1) = 5
(4 * 5 + x * 5) + -1(2x + -1) = 5
(20 + 5x) + -1(2x + -1) = 5

Reorder the terms:
20 + 5x + -1(-1 + 2x) = 5
20 + 5x + (-1 * -1 + 2x * -1) = 5
20 + 5x + (1 + -2x) = 5

Reorder the terms:
20 + 1 + 5x + -2x = 5

Combine like terms: 20 + 1 = 21
21 + 5x + -2x = 5

Combine like terms: 5x + -2x = 3x
21 + 3x = 5

Solving
21 + 3x = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.
21 + -21 + 3x = 5 + -21

Combine like terms: 21 + -21 = 0
0 + 3x = 5 + -21
3x = 5 + -21

Combine like terms: 5 + -21 = -16
3x = -16

Divide each side by '3'.
x = -5.333333333

Simplifying
x = -5.333333333

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