6-5(x+2)=x-13

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Solution for 6-5(x+2)=x-13 equation:


Simplifying
6 + -5(x + 2) = x + -13

Reorder the terms:
6 + -5(2 + x) = x + -13
6 + (2 * -5 + x * -5) = x + -13
6 + (-10 + -5x) = x + -13

Combine like terms: 6 + -10 = -4
-4 + -5x = x + -13

Reorder the terms:
-4 + -5x = -13 + x

Solving
-4 + -5x = -13 + 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.
-4 + -5x + -1x = -13 + x + -1x

Combine like terms: -5x + -1x = -6x
-4 + -6x = -13 + x + -1x

Combine like terms: x + -1x = 0
-4 + -6x = -13 + 0
-4 + -6x = -13

Add '4' to each side of the equation.
-4 + 4 + -6x = -13 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = -13 + 4
-6x = -13 + 4

Combine like terms: -13 + 4 = -9
-6x = -9

Divide each side by '-6'.
x = 1.5

Simplifying
x = 1.5

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