5x+11=8x-3

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Solution for 5x+11=8x-3 equation:


Simplifying
5x + 11 = 8x + -3

Reorder the terms:
11 + 5x = 8x + -3

Reorder the terms:
11 + 5x = -3 + 8x

Solving
11 + 5x = -3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
11 + 5x + -8x = -3 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
11 + -3x = -3 + 0
11 + -3x = -3

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

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

Combine like terms: -3 + -11 = -14
-3x = -14

Divide each side by '-3'.
x = 4.666666667

Simplifying
x = 4.666666667

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