4x-3(2-3x)=3(x-5)-21

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Solution for 4x-3(2-3x)=3(x-5)-21 equation:


Simplifying
4x + -3(2 + -3x) = 3(x + -5) + -21
4x + (2 * -3 + -3x * -3) = 3(x + -5) + -21
4x + (-6 + 9x) = 3(x + -5) + -21

Reorder the terms:
-6 + 4x + 9x = 3(x + -5) + -21

Combine like terms: 4x + 9x = 13x
-6 + 13x = 3(x + -5) + -21

Reorder the terms:
-6 + 13x = 3(-5 + x) + -21
-6 + 13x = (-5 * 3 + x * 3) + -21
-6 + 13x = (-15 + 3x) + -21

Reorder the terms:
-6 + 13x = -15 + -21 + 3x

Combine like terms: -15 + -21 = -36
-6 + 13x = -36 + 3x

Solving
-6 + 13x = -36 + 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.
-6 + 13x + -3x = -36 + 3x + -3x

Combine like terms: 13x + -3x = 10x
-6 + 10x = -36 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 10x = -36 + 0
-6 + 10x = -36

Add '6' to each side of the equation.
-6 + 6 + 10x = -36 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = -36 + 6
10x = -36 + 6

Combine like terms: -36 + 6 = -30
10x = -30

Divide each side by '10'.
x = -3

Simplifying
x = -3

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