3(1+3x)-5(x-6)=21

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Solution for 3(1+3x)-5(x-6)=21 equation:


Simplifying
3(1 + 3x) + -5(x + -6) = 21
(1 * 3 + 3x * 3) + -5(x + -6) = 21
(3 + 9x) + -5(x + -6) = 21

Reorder the terms:
3 + 9x + -5(-6 + x) = 21
3 + 9x + (-6 * -5 + x * -5) = 21
3 + 9x + (30 + -5x) = 21

Reorder the terms:
3 + 30 + 9x + -5x = 21

Combine like terms: 3 + 30 = 33
33 + 9x + -5x = 21

Combine like terms: 9x + -5x = 4x
33 + 4x = 21

Solving
33 + 4x = 21

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 4x = 21 + -33

Combine like terms: 33 + -33 = 0
0 + 4x = 21 + -33
4x = 21 + -33

Combine like terms: 21 + -33 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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