2(x-3)=-7x-33

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Solution for 2(x-3)=-7x-33 equation:


Simplifying
2(x + -3) = -7x + -33

Reorder the terms:
2(-3 + x) = -7x + -33
(-3 * 2 + x * 2) = -7x + -33
(-6 + 2x) = -7x + -33

Reorder the terms:
-6 + 2x = -33 + -7x

Solving
-6 + 2x = -33 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-6 + 2x + 7x = -33 + -7x + 7x

Combine like terms: 2x + 7x = 9x
-6 + 9x = -33 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 9x = -33 + 0
-6 + 9x = -33

Add '6' to each side of the equation.
-6 + 6 + 9x = -33 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = -33 + 6
9x = -33 + 6

Combine like terms: -33 + 6 = -27
9x = -27

Divide each side by '9'.
x = -3

Simplifying
x = -3

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