2(x-5)=3(x-10)

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Solution for 2(x-5)=3(x-10) equation: 


Simplifying
2(x + -5) = 3(x + -10)

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

Reorder the terms:
-10 + 2x = 3(-10 + x)
-10 + 2x = (-10 * 3 + x * 3)
-10 + 2x = (-30 + 3x)

Solving
-10 + 2x = -30 + 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 + 2x + -3x = -30 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-10 + -1x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = -30 + 0
-10 + -1x = -30

Add '10' to each side of the equation.
-10 + 10 + -1x = -30 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -30 + 10
-1x = -30 + 10

Combine like terms: -30 + 10 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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