x+3=7x-4

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Solution for x+3=7x-4 equation:


Simplifying
x + 3 = 7x + -4

Reorder the terms:
3 + x = 7x + -4

Reorder the terms:
3 + x = -4 + 7x

Solving
3 + x = -4 + 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.
3 + x + -7x = -4 + 7x + -7x

Combine like terms: x + -7x = -6x
3 + -6x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -6x = -4 + 0
3 + -6x = -4

Add '-3' to each side of the equation.
3 + -3 + -6x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -4 + -3
-6x = -4 + -3

Combine like terms: -4 + -3 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667

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