2x+4=7x-46

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Solution for 2x+4=7x-46 equation:


Simplifying
2x + 4 = 7x + -46

Reorder the terms:
4 + 2x = 7x + -46

Reorder the terms:
4 + 2x = -46 + 7x

Solving
4 + 2x = -46 + 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.
4 + 2x + -7x = -46 + 7x + -7x

Combine like terms: 2x + -7x = -5x
4 + -5x = -46 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -5x = -46 + 0
4 + -5x = -46

Add '-4' to each side of the equation.
4 + -4 + -5x = -46 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -46 + -4
-5x = -46 + -4

Combine like terms: -46 + -4 = -50
-5x = -50

Divide each side by '-5'.
x = 10

Simplifying
x = 10

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