2(x-5)-6x=3(x-5)

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Solution for 2(x-5)-6x=3(x-5) equation:


Simplifying
2(x + -5) + -6x = 3(x + -5)

Reorder the terms:
2(-5 + x) + -6x = 3(x + -5)
(-5 * 2 + x * 2) + -6x = 3(x + -5)
(-10 + 2x) + -6x = 3(x + -5)

Combine like terms: 2x + -6x = -4x
-10 + -4x = 3(x + -5)

Reorder the terms:
-10 + -4x = 3(-5 + x)
-10 + -4x = (-5 * 3 + x * 3)
-10 + -4x = (-15 + 3x)

Solving
-10 + -4x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + -4x + -3x = -15 + 3x + -3x

Combine like terms: -4x + -3x = -7x
-10 + -7x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -7x = -15 + 0
-10 + -7x = -15

Add '10' to each side of the equation.
-10 + 10 + -7x = -15 + 10

Combine like terms: -10 + 10 = 0
0 + -7x = -15 + 10
-7x = -15 + 10

Combine like terms: -15 + 10 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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