89-(3x+13)=3(x+9)+x

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Solution for 89-(3x+13)=3(x+9)+x equation:


Simplifying
89 + -1(3x + 13) = 3(x + 9) + x

Reorder the terms:
89 + -1(13 + 3x) = 3(x + 9) + x
89 + (13 * -1 + 3x * -1) = 3(x + 9) + x
89 + (-13 + -3x) = 3(x + 9) + x

Combine like terms: 89 + -13 = 76
76 + -3x = 3(x + 9) + x

Reorder the terms:
76 + -3x = 3(9 + x) + x
76 + -3x = (9 * 3 + x * 3) + x
76 + -3x = (27 + 3x) + x

Combine like terms: 3x + x = 4x
76 + -3x = 27 + 4x

Solving
76 + -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.
76 + -3x + -4x = 27 + 4x + -4x

Combine like terms: -3x + -4x = -7x
76 + -7x = 27 + 4x + -4x

Combine like terms: 4x + -4x = 0
76 + -7x = 27 + 0
76 + -7x = 27

Add '-76' to each side of the equation.
76 + -76 + -7x = 27 + -76

Combine like terms: 76 + -76 = 0
0 + -7x = 27 + -76
-7x = 27 + -76

Combine like terms: 27 + -76 = -49
-7x = -49

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

Simplifying
x = 7

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