6x-4=-9x+71

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Solution for 6x-4=-9x+71 equation:


Simplifying
6x + -4 = -9x + 71

Reorder the terms:
-4 + 6x = -9x + 71

Reorder the terms:
-4 + 6x = 71 + -9x

Solving
-4 + 6x = 71 + -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.
-4 + 6x + 9x = 71 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-4 + 15x = 71 + -9x + 9x

Combine like terms: -9x + 9x = 0
-4 + 15x = 71 + 0
-4 + 15x = 71

Add '4' to each side of the equation.
-4 + 4 + 15x = 71 + 4

Combine like terms: -4 + 4 = 0
0 + 15x = 71 + 4
15x = 71 + 4

Combine like terms: 71 + 4 = 75
15x = 75

Divide each side by '15'.
x = 5

Simplifying
x = 5

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