2x+11=74-5x

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Solution for 2x+11=74-5x equation:


Simplifying
2x + 11 = 74 + -5x

Reorder the terms:
11 + 2x = 74 + -5x

Solving
11 + 2x = 74 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
11 + 2x + 5x = 74 + -5x + 5x

Combine like terms: 2x + 5x = 7x
11 + 7x = 74 + -5x + 5x

Combine like terms: -5x + 5x = 0
11 + 7x = 74 + 0
11 + 7x = 74

Add '-11' to each side of the equation.
11 + -11 + 7x = 74 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 74 + -11
7x = 74 + -11

Combine like terms: 74 + -11 = 63
7x = 63

Divide each side by '7'.
x = 9

Simplifying
x = 9

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