21-(x+6)=4x-5

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Solution for 21-(x+6)=4x-5 equation:


Simplifying
21 + -1(x + 6) = 4x + -5

Reorder the terms:
21 + -1(6 + x) = 4x + -5
21 + (6 * -1 + x * -1) = 4x + -5
21 + (-6 + -1x) = 4x + -5

Combine like terms: 21 + -6 = 15
15 + -1x = 4x + -5

Reorder the terms:
15 + -1x = -5 + 4x

Solving
15 + -1x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + -1x + -4x = -5 + 4x + -4x

Combine like terms: -1x + -4x = -5x
15 + -5x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -5x = -5 + 0
15 + -5x = -5

Add '-15' to each side of the equation.
15 + -15 + -5x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = -5 + -15
-5x = -5 + -15

Combine like terms: -5 + -15 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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