73-(4x+10)=4(x+9)+x

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Solution for 73-(4x+10)=4(x+9)+x equation:


Simplifying
73 + -1(4x + 10) = 4(x + 9) + x

Reorder the terms:
73 + -1(10 + 4x) = 4(x + 9) + x
73 + (10 * -1 + 4x * -1) = 4(x + 9) + x
73 + (-10 + -4x) = 4(x + 9) + x

Combine like terms: 73 + -10 = 63
63 + -4x = 4(x + 9) + x

Reorder the terms:
63 + -4x = 4(9 + x) + x
63 + -4x = (9 * 4 + x * 4) + x
63 + -4x = (36 + 4x) + x

Combine like terms: 4x + x = 5x
63 + -4x = 36 + 5x

Solving
63 + -4x = 36 + 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.
63 + -4x + -5x = 36 + 5x + -5x

Combine like terms: -4x + -5x = -9x
63 + -9x = 36 + 5x + -5x

Combine like terms: 5x + -5x = 0
63 + -9x = 36 + 0
63 + -9x = 36

Add '-63' to each side of the equation.
63 + -63 + -9x = 36 + -63

Combine like terms: 63 + -63 = 0
0 + -9x = 36 + -63
-9x = 36 + -63

Combine like terms: 36 + -63 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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