5x-10=(-7)x+1

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Solution for 5x-10=(-7)x+1 equation:


Simplifying
5x + -10 = (-7) * x + 1

Reorder the terms:
-10 + 5x = (-7) * x + 1

Reorder the terms:
-10 + 5x = 1 + -7x

Solving
-10 + 5x = 1 + -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.
-10 + 5x + 7x = 1 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-10 + 12x = 1 + -7x + 7x

Combine like terms: -7x + 7x = 0
-10 + 12x = 1 + 0
-10 + 12x = 1

Add '10' to each side of the equation.
-10 + 10 + 12x = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 12x = 1 + 10
12x = 1 + 10

Combine like terms: 1 + 10 = 11
12x = 11

Divide each side by '12'.
x = 0.9166666667

Simplifying
x = 0.9166666667

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