4x+46=7x+10

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Solution for 4x+46=7x+10 equation:


Simplifying
4x + 46 = 7x + 10

Reorder the terms:
46 + 4x = 7x + 10

Reorder the terms:
46 + 4x = 10 + 7x

Solving
46 + 4x = 10 + 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.
46 + 4x + -7x = 10 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
46 + -3x = 10 + 0
46 + -3x = 10

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

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

Combine like terms: 10 + -46 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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