7x+31=99x-61

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Solution for 7x+31=99x-61 equation:


Simplifying
7x + 31 = 99x + -61

Reorder the terms:
31 + 7x = 99x + -61

Reorder the terms:
31 + 7x = -61 + 99x

Solving
31 + 7x = -61 + 99x

Solving for variable 'x'.

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

Add '-99x' to each side of the equation.
31 + 7x + -99x = -61 + 99x + -99x

Combine like terms: 7x + -99x = -92x
31 + -92x = -61 + 99x + -99x

Combine like terms: 99x + -99x = 0
31 + -92x = -61 + 0
31 + -92x = -61

Add '-31' to each side of the equation.
31 + -31 + -92x = -61 + -31

Combine like terms: 31 + -31 = 0
0 + -92x = -61 + -31
-92x = -61 + -31

Combine like terms: -61 + -31 = -92
-92x = -92

Divide each side by '-92'.
x = 1

Simplifying
x = 1

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