5x-3(x+6)=x-14

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Solution for 5x-3(x+6)=x-14 equation:


Simplifying
5x + -3(x + 6) = x + -14

Reorder the terms:
5x + -3(6 + x) = x + -14
5x + (6 * -3 + x * -3) = x + -14
5x + (-18 + -3x) = x + -14

Reorder the terms:
-18 + 5x + -3x = x + -14

Combine like terms: 5x + -3x = 2x
-18 + 2x = x + -14

Reorder the terms:
-18 + 2x = -14 + x

Solving
-18 + 2x = -14 + 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.
-18 + 2x + -1x = -14 + x + -1x

Combine like terms: 2x + -1x = 1x
-18 + 1x = -14 + x + -1x

Combine like terms: x + -1x = 0
-18 + 1x = -14 + 0
-18 + 1x = -14

Add '18' to each side of the equation.
-18 + 18 + 1x = -14 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -14 + 18
1x = -14 + 18

Combine like terms: -14 + 18 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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