x+(x-7)+4(x-7)=109

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Solution for x+(x-7)+4(x-7)=109 equation:


Simplifying
x + (x + -7) + 4(x + -7) = 109

Reorder the terms:
x + (-7 + x) + 4(x + -7) = 109

Remove parenthesis around (-7 + x)
x + -7 + x + 4(x + -7) = 109

Reorder the terms:
x + -7 + x + 4(-7 + x) = 109
x + -7 + x + (-7 * 4 + x * 4) = 109
x + -7 + x + (-28 + 4x) = 109

Reorder the terms:
-7 + -28 + x + x + 4x = 109

Combine like terms: -7 + -28 = -35
-35 + x + x + 4x = 109

Combine like terms: x + x = 2x
-35 + 2x + 4x = 109

Combine like terms: 2x + 4x = 6x
-35 + 6x = 109

Solving
-35 + 6x = 109

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + 6x = 109 + 35

Combine like terms: -35 + 35 = 0
0 + 6x = 109 + 35
6x = 109 + 35

Combine like terms: 109 + 35 = 144
6x = 144

Divide each side by '6'.
x = 24

Simplifying
x = 24

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