2x-(x-1)=21-4x

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Solution for 2x-(x-1)=21-4x equation:


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

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

Reorder the terms:
1 + 2x + -1x = 21 + -4x

Combine like terms: 2x + -1x = 1x
1 + 1x = 21 + -4x

Solving
1 + 1x = 21 + -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.
1 + 1x + 4x = 21 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
1 + 5x = 21 + 0
1 + 5x = 21

Add '-1' to each side of the equation.
1 + -1 + 5x = 21 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 21 + -1
5x = 21 + -1

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

Divide each side by '5'.
x = 4

Simplifying
x = 4

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