3(x-4)=2(x-10)

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Solution for 3(x-4)=2(x-10) equation:


Simplifying
3(x + -4) = 2(x + -10)

Reorder the terms:
3(-4 + x) = 2(x + -10)
(-4 * 3 + x * 3) = 2(x + -10)
(-12 + 3x) = 2(x + -10)

Reorder the terms:
-12 + 3x = 2(-10 + x)
-12 + 3x = (-10 * 2 + x * 2)
-12 + 3x = (-20 + 2x)

Solving
-12 + 3x = -20 + 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 + 3x + -2x = -20 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-12 + 1x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 1x = -20 + 0
-12 + 1x = -20

Add '12' to each side of the equation.
-12 + 12 + 1x = -20 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -20 + 12
1x = -20 + 12

Combine like terms: -20 + 12 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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