5-3(x+6)=7+x

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Solution for 5-3(x+6)=7+x equation:


Simplifying
5 + -3(x + 6) = 7 + x

Reorder the terms:
5 + -3(6 + x) = 7 + x
5 + (6 * -3 + x * -3) = 7 + x
5 + (-18 + -3x) = 7 + x

Combine like terms: 5 + -18 = -13
-13 + -3x = 7 + x

Solving
-13 + -3x = 7 + 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.
-13 + -3x + -1x = 7 + x + -1x

Combine like terms: -3x + -1x = -4x
-13 + -4x = 7 + x + -1x

Combine like terms: x + -1x = 0
-13 + -4x = 7 + 0
-13 + -4x = 7

Add '13' to each side of the equation.
-13 + 13 + -4x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + -4x = 7 + 13
-4x = 7 + 13

Combine like terms: 7 + 13 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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