2(x-5)-5x=8-15x-6

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Solution for 2(x-5)-5x=8-15x-6 equation:


Simplifying
2(x + -5) + -5x = 8 + -15x + -6

Reorder the terms:
2(-5 + x) + -5x = 8 + -15x + -6
(-5 * 2 + x * 2) + -5x = 8 + -15x + -6
(-10 + 2x) + -5x = 8 + -15x + -6

Combine like terms: 2x + -5x = -3x
-10 + -3x = 8 + -15x + -6

Reorder the terms:
-10 + -3x = 8 + -6 + -15x

Combine like terms: 8 + -6 = 2
-10 + -3x = 2 + -15x

Solving
-10 + -3x = 2 + -15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15x' to each side of the equation.
-10 + -3x + 15x = 2 + -15x + 15x

Combine like terms: -3x + 15x = 12x
-10 + 12x = 2 + -15x + 15x

Combine like terms: -15x + 15x = 0
-10 + 12x = 2 + 0
-10 + 12x = 2

Add '10' to each side of the equation.
-10 + 10 + 12x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 12x = 2 + 10
12x = 2 + 10

Combine like terms: 2 + 10 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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