78+3(x-9)=78+3+x+27

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Solution for 78+3(x-9)=78+3+x+27 equation:


Simplifying
78 + 3(x + -9) = 78 + 3 + x + 27

Reorder the terms:
78 + 3(-9 + x) = 78 + 3 + x + 27
78 + (-9 * 3 + x * 3) = 78 + 3 + x + 27
78 + (-27 + 3x) = 78 + 3 + x + 27

Combine like terms: 78 + -27 = 51
51 + 3x = 78 + 3 + x + 27

Reorder the terms:
51 + 3x = 78 + 3 + 27 + x

Combine like terms: 78 + 3 = 81
51 + 3x = 81 + 27 + x

Combine like terms: 81 + 27 = 108
51 + 3x = 108 + x

Solving
51 + 3x = 108 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
51 + 3x + -1x = 108 + x + -1x

Combine like terms: 3x + -1x = 2x
51 + 2x = 108 + x + -1x

Combine like terms: x + -1x = 0
51 + 2x = 108 + 0
51 + 2x = 108

Add '-51' to each side of the equation.
51 + -51 + 2x = 108 + -51

Combine like terms: 51 + -51 = 0
0 + 2x = 108 + -51
2x = 108 + -51

Combine like terms: 108 + -51 = 57
2x = 57

Divide each side by '2'.
x = 28.5

Simplifying
x = 28.5

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