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

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


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

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

Remove parenthesis around (3 + 7x)
-1[3x + 3 + 7x] = 8 + -1(2x + 8)

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

Combine like terms: 3x + 7x = 10x
-1[3 + 10x] = 8 + -1(2x + 8)
[3 * -1 + 10x * -1] = 8 + -1(2x + 8)
[-3 + -10x] = 8 + -1(2x + 8)

Reorder the terms:
-3 + -10x = 8 + -1(8 + 2x)
-3 + -10x = 8 + (8 * -1 + 2x * -1)
-3 + -10x = 8 + (-8 + -2x)

Combine like terms: 8 + -8 = 0
-3 + -10x = 0 + -2x
-3 + -10x = -2x

Solving
-3 + -10x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + -10x + 2x = -2x + 2x

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

Combine like terms: -2x + 2x = 0
-3 + -8x = 0

Add '3' to each side of the equation.
-3 + 3 + -8x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8x = 0 + 3
-8x = 0 + 3

Combine like terms: 0 + 3 = 3
-8x = 3

Divide each side by '-8'.
x = -0.375

Simplifying
x = -0.375

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