x*4+44=x*7-10

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Solution for x*4+44=x*7-10 equation:


Simplifying
x * 4 + 44 = x * 7 + -10

Reorder the terms for easier multiplication:
4x + 44 = x * 7 + -10

Reorder the terms:
44 + 4x = x * 7 + -10

Reorder the terms for easier multiplication:
44 + 4x = 7x + -10

Reorder the terms:
44 + 4x = -10 + 7x

Solving
44 + 4x = -10 + 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 + 4x + -7x = -10 + 7x + -7x

Combine like terms: 4x + -7x = -3x
44 + -3x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
44 + -3x = -10 + 0
44 + -3x = -10

Add '-44' to each side of the equation.
44 + -44 + -3x = -10 + -44

Combine like terms: 44 + -44 = 0
0 + -3x = -10 + -44
-3x = -10 + -44

Combine like terms: -10 + -44 = -54
-3x = -54

Divide each side by '-3'.
x = 18

Simplifying
x = 18

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