(11x+2)=8(x+20)

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Solution for (11x+2)=8(x+20) equation:


Simplifying
(11x + 2) = 8(x + 20)

Reorder the terms:
(2 + 11x) = 8(x + 20)

Remove parenthesis around (2 + 11x)
2 + 11x = 8(x + 20)

Reorder the terms:
2 + 11x = 8(20 + x)
2 + 11x = (20 * 8 + x * 8)
2 + 11x = (160 + 8x)

Solving
2 + 11x = 160 + 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 + 11x + -8x = 160 + 8x + -8x

Combine like terms: 11x + -8x = 3x
2 + 3x = 160 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + 3x = 160 + 0
2 + 3x = 160

Add '-2' to each side of the equation.
2 + -2 + 3x = 160 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 160 + -2
3x = 160 + -2

Combine like terms: 160 + -2 = 158
3x = 158

Divide each side by '3'.
x = 52.66666667

Simplifying
x = 52.66666667

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