-7x+10=5x-46

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Solution for -7x+10=5x-46 equation:


Simplifying
-7x + 10 = 5x + -46

Reorder the terms:
10 + -7x = 5x + -46

Reorder the terms:
10 + -7x = -46 + 5x

Solving
10 + -7x = -46 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + -7x + -5x = -46 + 5x + -5x

Combine like terms: -7x + -5x = -12x
10 + -12x = -46 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -12x = -46 + 0
10 + -12x = -46

Add '-10' to each side of the equation.
10 + -10 + -12x = -46 + -10

Combine like terms: 10 + -10 = 0
0 + -12x = -46 + -10
-12x = -46 + -10

Combine like terms: -46 + -10 = -56
-12x = -56

Divide each side by '-12'.
x = 4.666666667

Simplifying
x = 4.666666667

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