90-(4x+8)=4(x+7)+x

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Solution for 90-(4x+8)=4(x+7)+x equation:


Simplifying
90 + -1(4x + 8) = 4(x + 7) + x

Reorder the terms:
90 + -1(8 + 4x) = 4(x + 7) + x
90 + (8 * -1 + 4x * -1) = 4(x + 7) + x
90 + (-8 + -4x) = 4(x + 7) + x

Combine like terms: 90 + -8 = 82
82 + -4x = 4(x + 7) + x

Reorder the terms:
82 + -4x = 4(7 + x) + x
82 + -4x = (7 * 4 + x * 4) + x
82 + -4x = (28 + 4x) + x

Combine like terms: 4x + x = 5x
82 + -4x = 28 + 5x

Solving
82 + -4x = 28 + 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.
82 + -4x + -5x = 28 + 5x + -5x

Combine like terms: -4x + -5x = -9x
82 + -9x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
82 + -9x = 28 + 0
82 + -9x = 28

Add '-82' to each side of the equation.
82 + -82 + -9x = 28 + -82

Combine like terms: 82 + -82 = 0
0 + -9x = 28 + -82
-9x = 28 + -82

Combine like terms: 28 + -82 = -54
-9x = -54

Divide each side by '-9'.
x = 6

Simplifying
x = 6

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