2(x-4)+5x=x-15

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Solution for 2(x-4)+5x=x-15 equation:


Simplifying
2(x + -4) + 5x = x + -15

Reorder the terms:
2(-4 + x) + 5x = x + -15
(-4 * 2 + x * 2) + 5x = x + -15
(-8 + 2x) + 5x = x + -15

Combine like terms: 2x + 5x = 7x
-8 + 7x = x + -15

Reorder the terms:
-8 + 7x = -15 + x

Solving
-8 + 7x = -15 + 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.
-8 + 7x + -1x = -15 + x + -1x

Combine like terms: 7x + -1x = 6x
-8 + 6x = -15 + x + -1x

Combine like terms: x + -1x = 0
-8 + 6x = -15 + 0
-8 + 6x = -15

Add '8' to each side of the equation.
-8 + 8 + 6x = -15 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = -15 + 8
6x = -15 + 8

Combine like terms: -15 + 8 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667

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