5x-(6x+10)=x-13

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Solution for 5x-(6x+10)=x-13 equation:


Simplifying
5x + -1(6x + 10) = x + -13

Reorder the terms:
5x + -1(10 + 6x) = x + -13
5x + (10 * -1 + 6x * -1) = x + -13
5x + (-10 + -6x) = x + -13

Reorder the terms:
-10 + 5x + -6x = x + -13

Combine like terms: 5x + -6x = -1x
-10 + -1x = x + -13

Reorder the terms:
-10 + -1x = -13 + x

Solving
-10 + -1x = -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.
-10 + -1x + -1x = -13 + x + -1x

Combine like terms: -1x + -1x = -2x
-10 + -2x = -13 + x + -1x

Combine like terms: x + -1x = 0
-10 + -2x = -13 + 0
-10 + -2x = -13

Add '10' to each side of the equation.
-10 + 10 + -2x = -13 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -13 + 10
-2x = -13 + 10

Combine like terms: -13 + 10 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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