x+(x-7)+3(x-7)=107

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Solution for x+(x-7)+3(x-7)=107 equation:


Simplifying
x + (x + -7) + 3(x + -7) = 107

Reorder the terms:
x + (-7 + x) + 3(x + -7) = 107

Remove parenthesis around (-7 + x)
x + -7 + x + 3(x + -7) = 107

Reorder the terms:
x + -7 + x + 3(-7 + x) = 107
x + -7 + x + (-7 * 3 + x * 3) = 107
x + -7 + x + (-21 + 3x) = 107

Reorder the terms:
-7 + -21 + x + x + 3x = 107

Combine like terms: -7 + -21 = -28
-28 + x + x + 3x = 107

Combine like terms: x + x = 2x
-28 + 2x + 3x = 107

Combine like terms: 2x + 3x = 5x
-28 + 5x = 107

Solving
-28 + 5x = 107

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 5x = 107 + 28

Combine like terms: -28 + 28 = 0
0 + 5x = 107 + 28
5x = 107 + 28

Combine like terms: 107 + 28 = 135
5x = 135

Divide each side by '5'.
x = 27

Simplifying
x = 27

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