73-(4x+11)=4(x+2)+x

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Solution for 73-(4x+11)=4(x+2)+x equation:


Simplifying
73 + -1(4x + 11) = 4(x + 2) + x

Reorder the terms:
73 + -1(11 + 4x) = 4(x + 2) + x
73 + (11 * -1 + 4x * -1) = 4(x + 2) + x
73 + (-11 + -4x) = 4(x + 2) + x

Combine like terms: 73 + -11 = 62
62 + -4x = 4(x + 2) + x

Reorder the terms:
62 + -4x = 4(2 + x) + x
62 + -4x = (2 * 4 + x * 4) + x
62 + -4x = (8 + 4x) + x

Combine like terms: 4x + x = 5x
62 + -4x = 8 + 5x

Solving
62 + -4x = 8 + 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.
62 + -4x + -5x = 8 + 5x + -5x

Combine like terms: -4x + -5x = -9x
62 + -9x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
62 + -9x = 8 + 0
62 + -9x = 8

Add '-62' to each side of the equation.
62 + -62 + -9x = 8 + -62

Combine like terms: 62 + -62 = 0
0 + -9x = 8 + -62
-9x = 8 + -62

Combine like terms: 8 + -62 = -54
-9x = -54

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

Simplifying
x = 6

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