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

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


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

Reorder the terms:
2(-5 + x) + -3 = 8 + -5x
(-5 * 2 + x * 2) + -3 = 8 + -5x
(-10 + 2x) + -3 = 8 + -5x

Reorder the terms:
-10 + -3 + 2x = 8 + -5x

Combine like terms: -10 + -3 = -13
-13 + 2x = 8 + -5x

Solving
-13 + 2x = 8 + -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.
-13 + 2x + 5x = 8 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-13 + 7x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
-13 + 7x = 8 + 0
-13 + 7x = 8

Add '13' to each side of the equation.
-13 + 13 + 7x = 8 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 8 + 13
7x = 8 + 13

Combine like terms: 8 + 13 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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