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

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


Simplifying
2(5 + -2x) = 3(x + -6)
(5 * 2 + -2x * 2) = 3(x + -6)
(10 + -4x) = 3(x + -6)

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

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

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

Combine like terms: 3x + -3x = 0
10 + -7x = -18 + 0
10 + -7x = -18

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

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

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

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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