2-(7x+8)=-3(-x-8)

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Solution for 2-(7x+8)=-3(-x-8) equation:


Simplifying
2 + -1(7x + 8) = -3(-1x + -8)

Reorder the terms:
2 + -1(8 + 7x) = -3(-1x + -8)
2 + (8 * -1 + 7x * -1) = -3(-1x + -8)
2 + (-8 + -7x) = -3(-1x + -8)

Combine like terms: 2 + -8 = -6
-6 + -7x = -3(-1x + -8)

Reorder the terms:
-6 + -7x = -3(-8 + -1x)
-6 + -7x = (-8 * -3 + -1x * -3)
-6 + -7x = (24 + 3x)

Solving
-6 + -7x = 24 + 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.
-6 + -7x + -3x = 24 + 3x + -3x

Combine like terms: -7x + -3x = -10x
-6 + -10x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -10x = 24 + 0
-6 + -10x = 24

Add '6' to each side of the equation.
-6 + 6 + -10x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -10x = 24 + 6
-10x = 24 + 6

Combine like terms: 24 + 6 = 30
-10x = 30

Divide each side by '-10'.
x = -3

Simplifying
x = -3

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