2(4x-1)+7=33-6x

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Solution for 2(4x-1)+7=33-6x equation:


Simplifying
2(4x + -1) + 7 = 33 + -6x

Reorder the terms:
2(-1 + 4x) + 7 = 33 + -6x
(-1 * 2 + 4x * 2) + 7 = 33 + -6x
(-2 + 8x) + 7 = 33 + -6x

Reorder the terms:
-2 + 7 + 8x = 33 + -6x

Combine like terms: -2 + 7 = 5
5 + 8x = 33 + -6x

Solving
5 + 8x = 33 + -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.
5 + 8x + 6x = 33 + -6x + 6x

Combine like terms: 8x + 6x = 14x
5 + 14x = 33 + -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 14x = 33 + 0
5 + 14x = 33

Add '-5' to each side of the equation.
5 + -5 + 14x = 33 + -5

Combine like terms: 5 + -5 = 0
0 + 14x = 33 + -5
14x = 33 + -5

Combine like terms: 33 + -5 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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