8-(x+5)=3(x-7)

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Solution for 8-(x+5)=3(x-7) equation:


Simplifying
8 + -1(x + 5) = 3(x + -7)

Reorder the terms:
8 + -1(5 + x) = 3(x + -7)
8 + (5 * -1 + x * -1) = 3(x + -7)
8 + (-5 + -1x) = 3(x + -7)

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

Reorder the terms:
3 + -1x = 3(-7 + x)
3 + -1x = (-7 * 3 + x * 3)
3 + -1x = (-21 + 3x)

Solving
3 + -1x = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + -1x + -3x = -21 + 3x + -3x

Combine like terms: -1x + -3x = -4x
3 + -4x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -4x = -21 + 0
3 + -4x = -21

Add '-3' to each side of the equation.
3 + -3 + -4x = -21 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -21 + -3
-4x = -21 + -3

Combine like terms: -21 + -3 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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