-8(x+2)=3(x-13)

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Solution for -8(x+2)=3(x-13) equation:


Simplifying
-8(x + 2) = 3(x + -13)

Reorder the terms:
-8(2 + x) = 3(x + -13)
(2 * -8 + x * -8) = 3(x + -13)
(-16 + -8x) = 3(x + -13)

Reorder the terms:
-16 + -8x = 3(-13 + x)
-16 + -8x = (-13 * 3 + x * 3)
-16 + -8x = (-39 + 3x)

Solving
-16 + -8x = -39 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-16 + -8x + -3x = -39 + 3x + -3x

Combine like terms: -8x + -3x = -11x
-16 + -11x = -39 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + -11x = -39 + 0
-16 + -11x = -39

Add '16' to each side of the equation.
-16 + 16 + -11x = -39 + 16

Combine like terms: -16 + 16 = 0
0 + -11x = -39 + 16
-11x = -39 + 16

Combine like terms: -39 + 16 = -23
-11x = -23

Divide each side by '-11'.
x = 2.090909091

Simplifying
x = 2.090909091

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