2(2x+1)=-3x-33

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Solution for 2(2x+1)=-3x-33 equation:


Simplifying
2(2x + 1) = -3x + -33

Reorder the terms:
2(1 + 2x) = -3x + -33
(1 * 2 + 2x * 2) = -3x + -33
(2 + 4x) = -3x + -33

Reorder the terms:
2 + 4x = -33 + -3x

Solving
2 + 4x = -33 + -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.
2 + 4x + 3x = -33 + -3x + 3x

Combine like terms: 4x + 3x = 7x
2 + 7x = -33 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 7x = -33 + 0
2 + 7x = -33

Add '-2' to each side of the equation.
2 + -2 + 7x = -33 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = -33 + -2
7x = -33 + -2

Combine like terms: -33 + -2 = -35
7x = -35

Divide each side by '7'.
x = -5

Simplifying
x = -5

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