54-(3x+13)=3(x+9)+x

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Solution for 54-(3x+13)=3(x+9)+x equation:


Simplifying
54 + -1(3x + 13) = 3(x + 9) + x

Reorder the terms:
54 + -1(13 + 3x) = 3(x + 9) + x
54 + (13 * -1 + 3x * -1) = 3(x + 9) + x
54 + (-13 + -3x) = 3(x + 9) + x

Combine like terms: 54 + -13 = 41
41 + -3x = 3(x + 9) + x

Reorder the terms:
41 + -3x = 3(9 + x) + x
41 + -3x = (9 * 3 + x * 3) + x
41 + -3x = (27 + 3x) + x

Combine like terms: 3x + x = 4x
41 + -3x = 27 + 4x

Solving
41 + -3x = 27 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
41 + -3x + -4x = 27 + 4x + -4x

Combine like terms: -3x + -4x = -7x
41 + -7x = 27 + 4x + -4x

Combine like terms: 4x + -4x = 0
41 + -7x = 27 + 0
41 + -7x = 27

Add '-41' to each side of the equation.
41 + -41 + -7x = 27 + -41

Combine like terms: 41 + -41 = 0
0 + -7x = 27 + -41
-7x = 27 + -41

Combine like terms: 27 + -41 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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