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

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


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

Reorder the terms:
2(-5 + 4x) = 3(-2x + 6)
(-5 * 2 + 4x * 2) = 3(-2x + 6)
(-10 + 8x) = 3(-2x + 6)

Reorder the terms:
-10 + 8x = 3(6 + -2x)
-10 + 8x = (6 * 3 + -2x * 3)
-10 + 8x = (18 + -6x)

Solving
-10 + 8x = 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.
-10 + 8x + 6x = 18 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-10 + 14x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 14x = 18 + 0
-10 + 14x = 18

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

Combine like terms: -10 + 10 = 0
0 + 14x = 18 + 10
14x = 18 + 10

Combine like terms: 18 + 10 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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