6(7-x)+2(-3+x)=x+9

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Solution for 6(7-x)+2(-3+x)=x+9 equation:


Simplifying
6(7 + -1x) + 2(-3 + x) = x + 9
(7 * 6 + -1x * 6) + 2(-3 + x) = x + 9
(42 + -6x) + 2(-3 + x) = x + 9
42 + -6x + (-3 * 2 + x * 2) = x + 9
42 + -6x + (-6 + 2x) = x + 9

Reorder the terms:
42 + -6 + -6x + 2x = x + 9

Combine like terms: 42 + -6 = 36
36 + -6x + 2x = x + 9

Combine like terms: -6x + 2x = -4x
36 + -4x = x + 9

Reorder the terms:
36 + -4x = 9 + x

Solving
36 + -4x = 9 + x

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.
36 + -4x + -1x = 9 + x + -1x

Combine like terms: -4x + -1x = -5x
36 + -5x = 9 + x + -1x

Combine like terms: x + -1x = 0
36 + -5x = 9 + 0
36 + -5x = 9

Add '-36' to each side of the equation.
36 + -36 + -5x = 9 + -36

Combine like terms: 36 + -36 = 0
0 + -5x = 9 + -36
-5x = 9 + -36

Combine like terms: 9 + -36 = -27
-5x = -27

Divide each side by '-5'.
x = 5.4

Simplifying
x = 5.4

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