8-5(x-3)=x-29

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Solution for 8-5(x-3)=x-29 equation:


Simplifying
8 + -5(x + -3) = x + -29

Reorder the terms:
8 + -5(-3 + x) = x + -29
8 + (-3 * -5 + x * -5) = x + -29
8 + (15 + -5x) = x + -29

Combine like terms: 8 + 15 = 23
23 + -5x = x + -29

Reorder the terms:
23 + -5x = -29 + x

Solving
23 + -5x = -29 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
23 + -5x + -1x = -29 + x + -1x

Combine like terms: -5x + -1x = -6x
23 + -6x = -29 + x + -1x

Combine like terms: x + -1x = 0
23 + -6x = -29 + 0
23 + -6x = -29

Add '-23' to each side of the equation.
23 + -23 + -6x = -29 + -23

Combine like terms: 23 + -23 = 0
0 + -6x = -29 + -23
-6x = -29 + -23

Combine like terms: -29 + -23 = -52
-6x = -52

Divide each side by '-6'.
x = 8.666666667

Simplifying
x = 8.666666667

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