7x+46=3x+10

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Solution for 7x+46=3x+10 equation: 


Simplifying
7x + 46 = 3x + 10

Reorder the terms:
46 + 7x = 3x + 10

Reorder the terms:
46 + 7x = 10 + 3x

Solving
46 + 7x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
46 + 7x + -3x = 10 + 3x + -3x

Combine like terms: 7x + -3x = 4x
46 + 4x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
46 + 4x = 10 + 0
46 + 4x = 10

Add '-46' to each side of the equation.
46 + -46 + 4x = 10 + -46

Combine like terms: 46 + -46 = 0
0 + 4x = 10 + -46
4x = 10 + -46

Combine like terms: 10 + -46 = -36
4x = -36

Divide each side by '4'.
x = -9

Simplifying
x = -9

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