(x-7)=6(x+2)

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Solution for (x-7)=6(x+2) equation:


Simplifying
(x + -7) = 6(x + 2)

Reorder the terms:
(-7 + x) = 6(x + 2)

Remove parenthesis around (-7 + x)
-7 + x = 6(x + 2)

Reorder the terms:
-7 + x = 6(2 + x)
-7 + x = (2 * 6 + x * 6)
-7 + x = (12 + 6x)

Solving
-7 + x = 12 + 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.
-7 + x + -6x = 12 + 6x + -6x

Combine like terms: x + -6x = -5x
-7 + -5x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -5x = 12 + 0
-7 + -5x = 12

Add '7' to each side of the equation.
-7 + 7 + -5x = 12 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 12 + 7
-5x = 12 + 7

Combine like terms: 12 + 7 = 19
-5x = 19

Divide each side by '-5'.
x = -3.8

Simplifying
x = -3.8

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