5*x+2=11-x*8

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Solution for 5*x+2=11-x*8 equation:


Simplifying
5x + 2 = 11 + -1x * 8

Reorder the terms:
2 + 5x = 11 + -1x * 8

Reorder the terms for easier multiplication:
2 + 5x = 11 + -1 * 8x

Multiply -1 * 8
2 + 5x = 11 + -8x

Solving
2 + 5x = 11 + -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.
2 + 5x + 8x = 11 + -8x + 8x

Combine like terms: 5x + 8x = 13x
2 + 13x = 11 + -8x + 8x

Combine like terms: -8x + 8x = 0
2 + 13x = 11 + 0
2 + 13x = 11

Add '-2' to each side of the equation.
2 + -2 + 13x = 11 + -2

Combine like terms: 2 + -2 = 0
0 + 13x = 11 + -2
13x = 11 + -2

Combine like terms: 11 + -2 = 9
13x = 9

Divide each side by '13'.
x = 0.6923076923

Simplifying
x = 0.6923076923

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