3x-(4x+5)=3x-21

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Solution for 3x-(4x+5)=3x-21 equation:


Simplifying
3x + -1(4x + 5) = 3x + -21

Reorder the terms:
3x + -1(5 + 4x) = 3x + -21
3x + (5 * -1 + 4x * -1) = 3x + -21
3x + (-5 + -4x) = 3x + -21

Reorder the terms:
-5 + 3x + -4x = 3x + -21

Combine like terms: 3x + -4x = -1x
-5 + -1x = 3x + -21

Reorder the terms:
-5 + -1x = -21 + 3x

Solving
-5 + -1x = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + -1x + -3x = -21 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-5 + -4x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 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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