7x-4=2-x+1+9x-5

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Solution for 7x-4=2-x+1+9x-5 equation:


Simplifying
7x + -4 = 2 + -1x + 1 + 9x + -5

Reorder the terms:
-4 + 7x = 2 + -1x + 1 + 9x + -5

Reorder the terms:
-4 + 7x = 2 + 1 + -5 + -1x + 9x

Combine like terms: 2 + 1 = 3
-4 + 7x = 3 + -5 + -1x + 9x

Combine like terms: 3 + -5 = -2
-4 + 7x = -2 + -1x + 9x

Combine like terms: -1x + 9x = 8x
-4 + 7x = -2 + 8x

Solving
-4 + 7x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + 7x + -8x = -2 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-4 + -1x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -1x = -2 + 0
-4 + -1x = -2

Add '4' to each side of the equation.
-4 + 4 + -1x = -2 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -2 + 4
-1x = -2 + 4

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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