3-5(3x+3)=2(3-2x)+19

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Solution for 3-5(3x+3)=2(3-2x)+19 equation:


Simplifying
3 + -5(3x + 3) = 2(3 + -2x) + 19

Reorder the terms:
3 + -5(3 + 3x) = 2(3 + -2x) + 19
3 + (3 * -5 + 3x * -5) = 2(3 + -2x) + 19
3 + (-15 + -15x) = 2(3 + -2x) + 19

Combine like terms: 3 + -15 = -12
-12 + -15x = 2(3 + -2x) + 19
-12 + -15x = (3 * 2 + -2x * 2) + 19
-12 + -15x = (6 + -4x) + 19

Reorder the terms:
-12 + -15x = 6 + 19 + -4x

Combine like terms: 6 + 19 = 25
-12 + -15x = 25 + -4x

Solving
-12 + -15x = 25 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-12 + -15x + 4x = 25 + -4x + 4x

Combine like terms: -15x + 4x = -11x
-12 + -11x = 25 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + -11x = 25 + 0
-12 + -11x = 25

Add '12' to each side of the equation.
-12 + 12 + -11x = 25 + 12

Combine like terms: -12 + 12 = 0
0 + -11x = 25 + 12
-11x = 25 + 12

Combine like terms: 25 + 12 = 37
-11x = 37

Divide each side by '-11'.
x = -3.363636364

Simplifying
x = -3.363636364

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