7x-78=109-4x

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Solution for 7x-78=109-4x equation:


Simplifying
7x + -78 = 109 + -4x

Reorder the terms:
-78 + 7x = 109 + -4x

Solving
-78 + 7x = 109 + -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.
-78 + 7x + 4x = 109 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-78 + 11x = 109 + -4x + 4x

Combine like terms: -4x + 4x = 0
-78 + 11x = 109 + 0
-78 + 11x = 109

Add '78' to each side of the equation.
-78 + 78 + 11x = 109 + 78

Combine like terms: -78 + 78 = 0
0 + 11x = 109 + 78
11x = 109 + 78

Combine like terms: 109 + 78 = 187
11x = 187

Divide each side by '11'.
x = 17

Simplifying
x = 17

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