3x+11=74-4x

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Solution for 3x+11=74-4x equation:


Simplifying
3x + 11 = 74 + -4x

Reorder the terms:
11 + 3x = 74 + -4x

Solving
11 + 3x = 74 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
11 + 3x + 4x = 74 + -4x + 4x

Combine like terms: 3x + 4x = 7x
11 + 7x = 74 + -4x + 4x

Combine like terms: -4x + 4x = 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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