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

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


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

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

Reorder the terms:
-2 + 2x = 33 + -3(1 + 2x)
-2 + 2x = 33 + (1 * -3 + 2x * -3)
-2 + 2x = 33 + (-3 + -6x)

Combine like terms: 33 + -3 = 30
-2 + 2x = 30 + -6x

Solving
-2 + 2x = 30 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-2 + 2x + 6x = 30 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-2 + 8x = 30 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 8x = 30 + 0
-2 + 8x = 30

Add '2' to each side of the equation.
-2 + 2 + 8x = 30 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 30 + 2
8x = 30 + 2

Combine like terms: 30 + 2 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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