3x-1(5-2x)=x-21

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Solution for 3x-1(5-2x)=x-21 equation:


Simplifying
3x + -1(5 + -2x) = x + -21
3x + (5 * -1 + -2x * -1) = x + -21
3x + (-5 + 2x) = x + -21

Reorder the terms:
-5 + 3x + 2x = x + -21

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

Reorder the terms:
-5 + 5x = -21 + x

Solving
-5 + 5x = -21 + 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.
-5 + 5x + -1x = -21 + x + -1x

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

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

Add '5' to each side of the equation.
-5 + 5 + 4x = -21 + 5

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

Combine like terms: -21 + 5 = -16
4x = -16

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

Simplifying
x = -4

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