3(x-6)=2(5-2x)

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Solution for 3(x-6)=2(5-2x) equation:


Simplifying
3(x + -6) = 2(5 + -2x)

Reorder the terms:
3(-6 + x) = 2(5 + -2x)
(-6 * 3 + x * 3) = 2(5 + -2x)
(-18 + 3x) = 2(5 + -2x)
-18 + 3x = (5 * 2 + -2x * 2)
-18 + 3x = (10 + -4x)

Solving
-18 + 3x = 10 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
-18 + 3x + 4x = 10 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-18 + 7x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 7x = 10 + 0
-18 + 7x = 10

Add '18' to each side of the equation.
-18 + 18 + 7x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 7x = 10 + 18
7x = 10 + 18

Combine like terms: 10 + 18 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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