x*4+13=x*7+44

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Solution for x*4+13=x*7+44 equation:


Simplifying
x * 4 + 13 = x * 7 + 44

Reorder the terms for easier multiplication:
4x + 13 = x * 7 + 44

Reorder the terms:
13 + 4x = x * 7 + 44

Reorder the terms for easier multiplication:
13 + 4x = 7x + 44

Reorder the terms:
13 + 4x = 44 + 7x

Solving
13 + 4x = 44 + 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.
13 + 4x + -7x = 44 + 7x + -7x

Combine like terms: 4x + -7x = -3x
13 + -3x = 44 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + -3x = 44 + 0
13 + -3x = 44

Add '-13' to each side of the equation.
13 + -13 + -3x = 44 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 44 + -13
-3x = 44 + -13

Combine like terms: 44 + -13 = 31
-3x = 31

Divide each side by '-3'.
x = -10.33333333

Simplifying
x = -10.33333333

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