3(x+1)=8(x-10)

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Solution for 3(x+1)=8(x-10) equation:


Simplifying
3(x + 1) = 8(x + -10)

Reorder the terms:
3(1 + x) = 8(x + -10)
(1 * 3 + x * 3) = 8(x + -10)
(3 + 3x) = 8(x + -10)

Reorder the terms:
3 + 3x = 8(-10 + x)
3 + 3x = (-10 * 8 + x * 8)
3 + 3x = (-80 + 8x)

Solving
3 + 3x = -80 + 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.
3 + 3x + -8x = -80 + 8x + -8x

Combine like terms: 3x + -8x = -5x
3 + -5x = -80 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -5x = -80 + 0
3 + -5x = -80

Add '-3' to each side of the equation.
3 + -3 + -5x = -80 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -80 + -3
-5x = -80 + -3

Combine like terms: -80 + -3 = -83
-5x = -83

Divide each side by '-5'.
x = 16.6

Simplifying
x = 16.6

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