2x+46=5x+13

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Solution for 2x+46=5x+13 equation:


Simplifying
2x + 46 = 5x + 13

Reorder the terms:
46 + 2x = 5x + 13

Reorder the terms:
46 + 2x = 13 + 5x

Solving
46 + 2x = 13 + 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.
46 + 2x + -5x = 13 + 5x + -5x

Combine like terms: 2x + -5x = -3x
46 + -3x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
46 + -3x = 13 + 0
46 + -3x = 13

Add '-46' to each side of the equation.
46 + -46 + -3x = 13 + -46

Combine like terms: 46 + -46 = 0
0 + -3x = 13 + -46
-3x = 13 + -46

Combine like terms: 13 + -46 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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