2(5x-6)=4(3-x)

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Solution for 2(5x-6)=4(3-x) equation:


Simplifying
2(5x + -6) = 4(3 + -1x)

Reorder the terms:
2(-6 + 5x) = 4(3 + -1x)
(-6 * 2 + 5x * 2) = 4(3 + -1x)
(-12 + 10x) = 4(3 + -1x)
-12 + 10x = (3 * 4 + -1x * 4)
-12 + 10x = (12 + -4x)

Solving
-12 + 10x = 12 + -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.
-12 + 10x + 4x = 12 + -4x + 4x

Combine like terms: 10x + 4x = 14x
-12 + 14x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 14x = 12 + 0
-12 + 14x = 12

Add '12' to each side of the equation.
-12 + 12 + 14x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 14x = 12 + 12
14x = 12 + 12

Combine like terms: 12 + 12 = 24
14x = 24

Divide each side by '14'.
x = 1.714285714

Simplifying
x = 1.714285714

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