2(3x-5)+7=33

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Solution for 2(3x-5)+7=33 equation:


Simplifying
2(3x + -5) + 7 = 33

Reorder the terms:
2(-5 + 3x) + 7 = 33
(-5 * 2 + 3x * 2) + 7 = 33
(-10 + 6x) + 7 = 33

Reorder the terms:
-10 + 7 + 6x = 33

Combine like terms: -10 + 7 = -3
-3 + 6x = 33

Solving
-3 + 6x = 33

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 6x = 33 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 33 + 3
6x = 33 + 3

Combine like terms: 33 + 3 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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