2x-33(x+6)=-4(x-1)

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Solution for 2x-33(x+6)=-4(x-1) equation:


Simplifying
2x + -33(x + 6) = -4(x + -1)

Reorder the terms:
2x + -33(6 + x) = -4(x + -1)
2x + (6 * -33 + x * -33) = -4(x + -1)
2x + (-198 + -33x) = -4(x + -1)

Reorder the terms:
-198 + 2x + -33x = -4(x + -1)

Combine like terms: 2x + -33x = -31x
-198 + -31x = -4(x + -1)

Reorder the terms:
-198 + -31x = -4(-1 + x)
-198 + -31x = (-1 * -4 + x * -4)
-198 + -31x = (4 + -4x)

Solving
-198 + -31x = 4 + -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.
-198 + -31x + 4x = 4 + -4x + 4x

Combine like terms: -31x + 4x = -27x
-198 + -27x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-198 + -27x = 4 + 0
-198 + -27x = 4

Add '198' to each side of the equation.
-198 + 198 + -27x = 4 + 198

Combine like terms: -198 + 198 = 0
0 + -27x = 4 + 198
-27x = 4 + 198

Combine like terms: 4 + 198 = 202
-27x = 202

Divide each side by '-27'.
x = -7.481481481

Simplifying
x = -7.481481481

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