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

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


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

Reorder the terms:
2(-6 + x) + 3x = 2(x + -5)
(-6 * 2 + x * 2) + 3x = 2(x + -5)
(-12 + 2x) + 3x = 2(x + -5)

Combine like terms: 2x + 3x = 5x
-12 + 5x = 2(x + -5)

Reorder the terms:
-12 + 5x = 2(-5 + x)
-12 + 5x = (-5 * 2 + x * 2)
-12 + 5x = (-10 + 2x)

Solving
-12 + 5x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 5x + -2x = -10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-12 + 3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 3x = -10 + 0
-12 + 3x = -10

Add '12' to each side of the equation.
-12 + 12 + 3x = -10 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -10 + 12
3x = -10 + 12

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

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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