96-(5x+4)=5(x+3)+x

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Solution for 96-(5x+4)=5(x+3)+x equation:


Simplifying
96 + -1(5x + 4) = 5(x + 3) + x

Reorder the terms:
96 + -1(4 + 5x) = 5(x + 3) + x
96 + (4 * -1 + 5x * -1) = 5(x + 3) + x
96 + (-4 + -5x) = 5(x + 3) + x

Combine like terms: 96 + -4 = 92
92 + -5x = 5(x + 3) + x

Reorder the terms:
92 + -5x = 5(3 + x) + x
92 + -5x = (3 * 5 + x * 5) + x
92 + -5x = (15 + 5x) + x

Combine like terms: 5x + x = 6x
92 + -5x = 15 + 6x

Solving
92 + -5x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
92 + -5x + -6x = 15 + 6x + -6x

Combine like terms: -5x + -6x = -11x
92 + -11x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
92 + -11x = 15 + 0
92 + -11x = 15

Add '-92' to each side of the equation.
92 + -92 + -11x = 15 + -92

Combine like terms: 92 + -92 = 0
0 + -11x = 15 + -92
-11x = 15 + -92

Combine like terms: 15 + -92 = -77
-11x = -77

Divide each side by '-11'.
x = 7

Simplifying
x = 7

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