2x+44=7x-6

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Solution for 2x+44=7x-6 equation:


Simplifying
2x + 44 = 7x + -6

Reorder the terms:
44 + 2x = 7x + -6

Reorder the terms:
44 + 2x = -6 + 7x

Solving
44 + 2x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
44 + 2x + -7x = -6 + 7x + -7x

Combine like terms: 2x + -7x = -5x
44 + -5x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
44 + -5x = -6 + 0
44 + -5x = -6

Add '-44' to each side of the equation.
44 + -44 + -5x = -6 + -44

Combine like terms: 44 + -44 = 0
0 + -5x = -6 + -44
-5x = -6 + -44

Combine like terms: -6 + -44 = -50
-5x = -50

Divide each side by '-5'.
x = 10

Simplifying
x = 10

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