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

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


Simplifying
7(6 + x) = 6(2 + -1x)
(6 * 7 + x * 7) = 6(2 + -1x)
(42 + 7x) = 6(2 + -1x)
42 + 7x = (2 * 6 + -1x * 6)
42 + 7x = (12 + -6x)

Solving
42 + 7x = 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.
42 + 7x + 6x = 12 + -6x + 6x

Combine like terms: 7x + 6x = 13x
42 + 13x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
42 + 13x = 12 + 0
42 + 13x = 12

Add '-42' to each side of the equation.
42 + -42 + 13x = 12 + -42

Combine like terms: 42 + -42 = 0
0 + 13x = 12 + -42
13x = 12 + -42

Combine like terms: 12 + -42 = -30
13x = -30

Divide each side by '13'.
x = -2.307692308

Simplifying
x = -2.307692308

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