21+4x=2(-x+5)-13

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Solution for 21+4x=2(-x+5)-13 equation:


Simplifying
21 + 4x = 2(-1x + 5) + -13

Reorder the terms:
21 + 4x = 2(5 + -1x) + -13
21 + 4x = (5 * 2 + -1x * 2) + -13
21 + 4x = (10 + -2x) + -13

Reorder the terms:
21 + 4x = 10 + -13 + -2x

Combine like terms: 10 + -13 = -3
21 + 4x = -3 + -2x

Solving
21 + 4x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
21 + 4x + 2x = -3 + -2x + 2x

Combine like terms: 4x + 2x = 6x
21 + 6x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + 6x = -3 + 0
21 + 6x = -3

Add '-21' to each side of the equation.
21 + -21 + 6x = -3 + -21

Combine like terms: 21 + -21 = 0
0 + 6x = -3 + -21
6x = -3 + -21

Combine like terms: -3 + -21 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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