6x+5=7(x-6)

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


Simplifying
6x + 5 = 7(x + -6)
Reorder the terms:
5 + 6x = 7(x + -6)
Reorder the terms:
5 + 6x = 7(-6 + x)
5 + 6x = (-6 * 7 + x * 7)
5 + 6x = (-42 + 7x)
Solving
5 + 6x = -42 + 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.
5 + 6x + -7x = -42 + 7x + -7x
Combine like terms: 6x + -7x = -1x
5 + -1x = -42 + 7x + -7x
Combine like terms: 7x + -7x = 0
5 + -1x = -42 + 0
5 + -1x = -42
Add '-5' to each side of the equation.
5 + -5 + -1x = -42 + -5
Combine like terms: 5 + -5 = 0
0 + -1x = -42 + -5
-1x = -42 + -5
Combine like terms: -42 + -5 = -47
-1x = -47
Divide each side by '-1'.
x = 47
Simplifying
x = 47

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