93-(4x+6)=4(x+6)+x

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Solution for 93-(4x+6)=4(x+6)+x equation:


Simplifying
93 + -1(4x + 6) = 4(x + 6) + x

Reorder the terms:
93 + -1(6 + 4x) = 4(x + 6) + x
93 + (6 * -1 + 4x * -1) = 4(x + 6) + x
93 + (-6 + -4x) = 4(x + 6) + x

Combine like terms: 93 + -6 = 87
87 + -4x = 4(x + 6) + x

Reorder the terms:
87 + -4x = 4(6 + x) + x
87 + -4x = (6 * 4 + x * 4) + x
87 + -4x = (24 + 4x) + x

Combine like terms: 4x + x = 5x
87 + -4x = 24 + 5x

Solving
87 + -4x = 24 + 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.
87 + -4x + -5x = 24 + 5x + -5x

Combine like terms: -4x + -5x = -9x
87 + -9x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
87 + -9x = 24 + 0
87 + -9x = 24

Add '-87' to each side of the equation.
87 + -87 + -9x = 24 + -87

Combine like terms: 87 + -87 = 0
0 + -9x = 24 + -87
-9x = 24 + -87

Combine like terms: 24 + -87 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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