7x-61=-4x+71

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Solution for 7x-61=-4x+71 equation:


Simplifying
7x + -61 = -4x + 71

Reorder the terms:
-61 + 7x = -4x + 71

Reorder the terms:
-61 + 7x = 71 + -4x

Solving
-61 + 7x = 71 + -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.
-61 + 7x + 4x = 71 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-61 + 11x = 71 + -4x + 4x

Combine like terms: -4x + 4x = 0
-61 + 11x = 71 + 0
-61 + 11x = 71

Add '61' to each side of the equation.
-61 + 61 + 11x = 71 + 61

Combine like terms: -61 + 61 = 0
0 + 11x = 71 + 61
11x = 71 + 61

Combine like terms: 71 + 61 = 132
11x = 132

Divide each side by '11'.
x = 12

Simplifying
x = 12

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