2(4x-3)=33-3(x+2)

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Solution for 2(4x-3)=33-3(x+2) equation:


Simplifying
2(4x + -3) = 33 + -3(x + 2)

Reorder the terms:
2(-3 + 4x) = 33 + -3(x + 2)
(-3 * 2 + 4x * 2) = 33 + -3(x + 2)
(-6 + 8x) = 33 + -3(x + 2)

Reorder the terms:
-6 + 8x = 33 + -3(2 + x)
-6 + 8x = 33 + (2 * -3 + x * -3)
-6 + 8x = 33 + (-6 + -3x)

Combine like terms: 33 + -6 = 27
-6 + 8x = 27 + -3x

Solving
-6 + 8x = 27 + -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.
-6 + 8x + 3x = 27 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-6 + 11x = 27 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 11x = 27 + 0
-6 + 11x = 27

Add '6' to each side of the equation.
-6 + 6 + 11x = 27 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = 27 + 6
11x = 27 + 6

Combine like terms: 27 + 6 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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