7x+61=84-x

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Solution for 7x+61=84-x equation:


Simplifying
7x + 61 = 84 + -1x

Reorder the terms:
61 + 7x = 84 + -1x

Solving
61 + 7x = 84 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
61 + 7x + x = 84 + -1x + x

Combine like terms: 7x + x = 8x
61 + 8x = 84 + -1x + x

Combine like terms: -1x + x = 0
61 + 8x = 84 + 0
61 + 8x = 84

Add '-61' to each side of the equation.
61 + -61 + 8x = 84 + -61

Combine like terms: 61 + -61 = 0
0 + 8x = 84 + -61
8x = 84 + -61

Combine like terms: 84 + -61 = 23
8x = 23

Divide each side by '8'.
x = 2.875

Simplifying
x = 2.875

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