3x+4x+11=2x+46

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Solution for 3x+4x+11=2x+46 equation:


Simplifying
3x + 4x + 11 = 2x + 46

Reorder the terms:
11 + 3x + 4x = 2x + 46

Combine like terms: 3x + 4x = 7x
11 + 7x = 2x + 46

Reorder the terms:
11 + 7x = 46 + 2x

Solving
11 + 7x = 46 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + 7x + -2x = 46 + 2x + -2x

Combine like terms: 7x + -2x = 5x
11 + 5x = 46 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 5x = 46 + 0
11 + 5x = 46

Add '-11' to each side of the equation.
11 + -11 + 5x = 46 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 46 + -11
5x = 46 + -11

Combine like terms: 46 + -11 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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