3(x-10)=2x-6

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Solution for 3(x-10)=2x-6 equation:


Simplifying
3(x + -10) = 2x + -6

Reorder the terms:
3(-10 + x) = 2x + -6
(-10 * 3 + x * 3) = 2x + -6
(-30 + 3x) = 2x + -6

Reorder the terms:
-30 + 3x = -6 + 2x

Solving
-30 + 3x = -6 + 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 = -6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-30 + 1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + 1x = -6 + 0
-30 + 1x = -6

Add '30' to each side of the equation.
-30 + 30 + 1x = -6 + 30

Combine like terms: -30 + 30 = 0
0 + 1x = -6 + 30
1x = -6 + 30

Combine like terms: -6 + 30 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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