2x+5(3x-1)=x-13

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Solution for 2x+5(3x-1)=x-13 equation:


Simplifying
2x + 5(3x + -1) = x + -13

Reorder the terms:
2x + 5(-1 + 3x) = x + -13
2x + (-1 * 5 + 3x * 5) = x + -13
2x + (-5 + 15x) = x + -13

Reorder the terms:
-5 + 2x + 15x = x + -13

Combine like terms: 2x + 15x = 17x
-5 + 17x = x + -13

Reorder the terms:
-5 + 17x = -13 + x

Solving
-5 + 17x = -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.
-5 + 17x + -1x = -13 + x + -1x

Combine like terms: 17x + -1x = 16x
-5 + 16x = -13 + x + -1x

Combine like terms: x + -1x = 0
-5 + 16x = -13 + 0
-5 + 16x = -13

Add '5' to each side of the equation.
-5 + 5 + 16x = -13 + 5

Combine like terms: -5 + 5 = 0
0 + 16x = -13 + 5
16x = -13 + 5

Combine like terms: -13 + 5 = -8
16x = -8

Divide each side by '16'.
x = -0.5

Simplifying
x = -0.5

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