3(3x+1)=2x-4(x+5)+1

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Solution for 3(3x+1)=2x-4(x+5)+1 equation:


Simplifying
3(3x + 1) = 2x + -4(x + 5) + 1

Reorder the terms:
3(1 + 3x) = 2x + -4(x + 5) + 1
(1 * 3 + 3x * 3) = 2x + -4(x + 5) + 1
(3 + 9x) = 2x + -4(x + 5) + 1

Reorder the terms:
3 + 9x = 2x + -4(5 + x) + 1
3 + 9x = 2x + (5 * -4 + x * -4) + 1
3 + 9x = 2x + (-20 + -4x) + 1

Reorder the terms:
3 + 9x = -20 + 1 + 2x + -4x

Combine like terms: -20 + 1 = -19
3 + 9x = -19 + 2x + -4x

Combine like terms: 2x + -4x = -2x
3 + 9x = -19 + -2x

Solving
3 + 9x = -19 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3 + 9x + 2x = -19 + -2x + 2x

Combine like terms: 9x + 2x = 11x
3 + 11x = -19 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 11x = -19 + 0
3 + 11x = -19

Add '-3' to each side of the equation.
3 + -3 + 11x = -19 + -3

Combine like terms: 3 + -3 = 0
0 + 11x = -19 + -3
11x = -19 + -3

Combine like terms: -19 + -3 = -22
11x = -22

Divide each side by '11'.
x = -2

Simplifying
x = -2

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