6(x-2)=40-(7-x)

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Solution for 6(x-2)=40-(7-x) equation:


Simplifying
6(x + -2) = 40 + -1(7 + -1x)

Reorder the terms:
6(-2 + x) = 40 + -1(7 + -1x)
(-2 * 6 + x * 6) = 40 + -1(7 + -1x)
(-12 + 6x) = 40 + -1(7 + -1x)
-12 + 6x = 40 + (7 * -1 + -1x * -1)
-12 + 6x = 40 + (-7 + 1x)

Combine like terms: 40 + -7 = 33
-12 + 6x = 33 + 1x

Solving
-12 + 6x = 33 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 6x + -1x = 33 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-12 + 5x = 33 + 1x + -1x

Combine like terms: 1x + -1x = 0
-12 + 5x = 33 + 0
-12 + 5x = 33

Add '12' to each side of the equation.
-12 + 12 + 5x = 33 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 33 + 12
5x = 33 + 12

Combine like terms: 33 + 12 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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