2(7-5x)=3(2x-6)

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Solution for 2(7-5x)=3(2x-6) equation:


Simplifying
2(7 + -5x) = 3(2x + -6)
(7 * 2 + -5x * 2) = 3(2x + -6)
(14 + -10x) = 3(2x + -6)

Reorder the terms:
14 + -10x = 3(-6 + 2x)
14 + -10x = (-6 * 3 + 2x * 3)
14 + -10x = (-18 + 6x)

Solving
14 + -10x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + -10x + -6x = -18 + 6x + -6x

Combine like terms: -10x + -6x = -16x
14 + -16x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -16x = -18 + 0
14 + -16x = -18

Add '-14' to each side of the equation.
14 + -14 + -16x = -18 + -14

Combine like terms: 14 + -14 = 0
0 + -16x = -18 + -14
-16x = -18 + -14

Combine like terms: -18 + -14 = -32
-16x = -32

Divide each side by '-16'.
x = 2

Simplifying
x = 2

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