2x-83=5x+7a

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Solution for 2x-83=5x+7a equation:


Simplifying
2x + -83 = 5x + 7a

Reorder the terms:
-83 + 2x = 5x + 7a

Reorder the terms:
-83 + 2x = 7a + 5x

Solving
-83 + 2x = 7a + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-83 + 2x + -5x = 7a + 5x + -5x

Combine like terms: 2x + -5x = -3x
-83 + -3x = 7a + 5x + -5x

Combine like terms: 5x + -5x = 0
-83 + -3x = 7a + 0
-83 + -3x = 7a

Add '83' to each side of the equation.
-83 + 83 + -3x = 83 + 7a

Combine like terms: -83 + 83 = 0
0 + -3x = 83 + 7a
-3x = 83 + 7a

Divide each side by '-3'.
x = -27.66666667 + -2.333333333a

Simplifying
x = -27.66666667 + -2.333333333a

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