8x-11=5x+46

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Solution for 8x-11=5x+46 equation:


Simplifying
8x + -11 = 5x + 46

Reorder the terms:
-11 + 8x = 5x + 46

Reorder the terms:
-11 + 8x = 46 + 5x

Solving
-11 + 8x = 46 + 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 + 8x + -5x = 46 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-11 + 3x = 46 + 5x + -5x

Combine like terms: 5x + -5x = 0
-11 + 3x = 46 + 0
-11 + 3x = 46

Add '11' to each side of the equation.
-11 + 11 + 3x = 46 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 46 + 11
3x = 46 + 11

Combine like terms: 46 + 11 = 57
3x = 57

Divide each side by '3'.
x = 19

Simplifying
x = 19

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