2-8(x-5)=5x+3

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Solution for 2-8(x-5)=5x+3 equation:


Simplifying
2 + -8(x + -5) = 5x + 3

Reorder the terms:
2 + -8(-5 + x) = 5x + 3
2 + (-5 * -8 + x * -8) = 5x + 3
2 + (40 + -8x) = 5x + 3

Combine like terms: 2 + 40 = 42
42 + -8x = 5x + 3

Reorder the terms:
42 + -8x = 3 + 5x

Solving
42 + -8x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
42 + -8x + -5x = 3 + 5x + -5x

Combine like terms: -8x + -5x = -13x
42 + -13x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
42 + -13x = 3 + 0
42 + -13x = 3

Add '-42' to each side of the equation.
42 + -42 + -13x = 3 + -42

Combine like terms: 42 + -42 = 0
0 + -13x = 3 + -42
-13x = 3 + -42

Combine like terms: 3 + -42 = -39
-13x = -39

Divide each side by '-13'.
x = 3

Simplifying
x = 3

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