6+(x+4)=5-(4x+7)+8

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Solution for 6+(x+4)=5-(4x+7)+8 equation: 


Simplifying
6 + (x + 4) = 5 + -1(4x + 7) + 8

Reorder the terms:
6 + (4 + x) = 5 + -1(4x + 7) + 8

Remove parenthesis around (4 + x)
6 + 4 + x = 5 + -1(4x + 7) + 8

Combine like terms: 6 + 4 = 10
10 + x = 5 + -1(4x + 7) + 8

Reorder the terms:
10 + x = 5 + -1(7 + 4x) + 8
10 + x = 5 + (7 * -1 + 4x * -1) + 8
10 + x = 5 + (-7 + -4x) + 8

Reorder the terms:
10 + x = 5 + -7 + 8 + -4x

Combine like terms: 5 + -7 = -2
10 + x = -2 + 8 + -4x

Combine like terms: -2 + 8 = 6
10 + x = 6 + -4x

Solving
10 + x = 6 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + x + 4x = 6 + -4x + 4x

Combine like terms: x + 4x = 5x
10 + 5x = 6 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 5x = 6 + 0
10 + 5x = 6

Add '-10' to each side of the equation.
10 + -10 + 5x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 6 + -10
5x = 6 + -10

Combine like terms: 6 + -10 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8

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