5x-6=7+6(x-9)

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Solution for 5x-6=7+6(x-9) equation:


Simplifying
5x + -6 = 7 + 6(x + -9)

Reorder the terms:
-6 + 5x = 7 + 6(x + -9)

Reorder the terms:
-6 + 5x = 7 + 6(-9 + x)
-6 + 5x = 7 + (-9 * 6 + x * 6)
-6 + 5x = 7 + (-54 + 6x)

Combine like terms: 7 + -54 = -47
-6 + 5x = -47 + 6x

Solving
-6 + 5x = -47 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 5x + -6x = -47 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-6 + -1x = -47 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -1x = -47 + 0
-6 + -1x = -47

Add '6' to each side of the equation.
-6 + 6 + -1x = -47 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -47 + 6
-1x = -47 + 6

Combine like terms: -47 + 6 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41

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