x*5+41=x*8-7

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Solution for x*5+41=x*8-7 equation:


Simplifying
x * 5 + 41 = x * 8 + -7

Reorder the terms for easier multiplication:
5x + 41 = x * 8 + -7

Reorder the terms:
41 + 5x = x * 8 + -7

Reorder the terms for easier multiplication:
41 + 5x = 8x + -7

Reorder the terms:
41 + 5x = -7 + 8x

Solving
41 + 5x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
41 + 5x + -8x = -7 + 8x + -8x

Combine like terms: 5x + -8x = -3x
41 + -3x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
41 + -3x = -7 + 0
41 + -3x = -7

Add '-41' to each side of the equation.
41 + -41 + -3x = -7 + -41

Combine like terms: 41 + -41 = 0
0 + -3x = -7 + -41
-3x = -7 + -41

Combine like terms: -7 + -41 = -48
-3x = -48

Divide each side by '-3'.
x = 16

Simplifying
x = 16

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