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

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Solution for 1+(x-8)=2-5(x-3) equation:


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

Reorder the terms:
1 + (-8 + x) = 2 + -5(x + -3)

Remove parenthesis around (-8 + x)
1 + -8 + x = 2 + -5(x + -3)

Combine like terms: 1 + -8 = -7
-7 + x = 2 + -5(x + -3)

Reorder the terms:
-7 + x = 2 + -5(-3 + x)
-7 + x = 2 + (-3 * -5 + x * -5)
-7 + x = 2 + (15 + -5x)

Combine like terms: 2 + 15 = 17
-7 + x = 17 + -5x

Solving
-7 + x = 17 + -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 + x + 5x = 17 + -5x + 5x

Combine like terms: x + 5x = 6x
-7 + 6x = 17 + -5x + 5x

Combine like terms: -5x + 5x = 0
-7 + 6x = 17 + 0
-7 + 6x = 17

Add '7' to each side of the equation.
-7 + 7 + 6x = 17 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 17 + 7
6x = 17 + 7

Combine like terms: 17 + 7 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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