13-5(x-4)=8x+5

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Solution for 13-5(x-4)=8x+5 equation:


Simplifying
13 + -5(x + -4) = 8x + 5

Reorder the terms:
13 + -5(-4 + x) = 8x + 5
13 + (-4 * -5 + x * -5) = 8x + 5
13 + (20 + -5x) = 8x + 5

Combine like terms: 13 + 20 = 33
33 + -5x = 8x + 5

Reorder the terms:
33 + -5x = 5 + 8x

Solving
33 + -5x = 5 + 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.
33 + -5x + -8x = 5 + 8x + -8x

Combine like terms: -5x + -8x = -13x
33 + -13x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
33 + -13x = 5 + 0
33 + -13x = 5

Add '-33' to each side of the equation.
33 + -33 + -13x = 5 + -33

Combine like terms: 33 + -33 = 0
0 + -13x = 5 + -33
-13x = 5 + -33

Combine like terms: 5 + -33 = -28
-13x = -28

Divide each side by '-13'.
x = 2.153846154

Simplifying
x = 2.153846154

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