2x-3(x-4)=2(x-5)

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Solution for 2x-3(x-4)=2(x-5) equation: 


Simplifying
2x + -3(x + -4) = 2(x + -5)

Reorder the terms:
2x + -3(-4 + x) = 2(x + -5)
2x + (-4 * -3 + x * -3) = 2(x + -5)
2x + (12 + -3x) = 2(x + -5)

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

Combine like terms: 2x + -3x = -1x
12 + -1x = 2(x + -5)

Reorder the terms:
12 + -1x = 2(-5 + x)
12 + -1x = (-5 * 2 + x * 2)
12 + -1x = (-10 + 2x)

Solving
12 + -1x = -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 + -1x + -2x = -10 + 2x + -2x

Combine like terms: -1x + -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 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333

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