7x+1=9x-3

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Solution for 7x+1=9x-3 equation:


Simplifying
7x + 1 = 9x + -3

Reorder the terms:
1 + 7x = 9x + -3

Reorder the terms:
1 + 7x = -3 + 9x

Solving
1 + 7x = -3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
1 + 7x + -9x = -3 + 9x + -9x

Combine like terms: 7x + -9x = -2x
1 + -2x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
1 + -2x = -3 + 0
1 + -2x = -3

Add '-1' to each side of the equation.
1 + -1 + -2x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -3 + -1
-2x = -3 + -1

Combine like terms: -3 + -1 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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