3(x-2)-1=2-5(x-5)

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Solution for 3(x-2)-1=2-5(x-5) equation:


Simplifying
3(x + -2) + -1 = 2 + -5(x + -5)

Reorder the terms:
3(-2 + x) + -1 = 2 + -5(x + -5)
(-2 * 3 + x * 3) + -1 = 2 + -5(x + -5)
(-6 + 3x) + -1 = 2 + -5(x + -5)

Reorder the terms:
-6 + -1 + 3x = 2 + -5(x + -5)

Combine like terms: -6 + -1 = -7
-7 + 3x = 2 + -5(x + -5)

Reorder the terms:
-7 + 3x = 2 + -5(-5 + x)
-7 + 3x = 2 + (-5 * -5 + x * -5)
-7 + 3x = 2 + (25 + -5x)

Combine like terms: 2 + 25 = 27
-7 + 3x = 27 + -5x

Solving
-7 + 3x = 27 + -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.
-7 + 3x + 5x = 27 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-7 + 8x = 27 + -5x + 5x

Combine like terms: -5x + 5x = 0
-7 + 8x = 27 + 0
-7 + 8x = 27

Add '7' to each side of the equation.
-7 + 7 + 8x = 27 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 27 + 7
8x = 27 + 7

Combine like terms: 27 + 7 = 34
8x = 34

Divide each side by '8'.
x = 4.25

Simplifying
x = 4.25

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