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

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


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

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

Reorder the terms:
-30 + 3x = 2(10 + x)
-30 + 3x = (10 * 2 + x * 2)
-30 + 3x = (20 + 2x)

Solving
-30 + 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.
-30 + 3x + -2x = 20 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-30 + 1x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + 1x = 20 + 0
-30 + 1x = 20

Add '30' to each side of the equation.
-30 + 30 + 1x = 20 + 30

Combine like terms: -30 + 30 = 0
0 + 1x = 20 + 30
1x = 20 + 30

Combine like terms: 20 + 30 = 50
1x = 50

Divide each side by '1'.
x = 50

Simplifying
x = 50

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