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

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


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

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

Remove parenthesis around (-5 + 4x)
-5 + 4x = 3(-2x + 6)

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

Solving
-5 + 4x = 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.
-5 + 4x + 6x = 18 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-5 + 10x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 10x = 18 + 0
-5 + 10x = 18

Add '5' to each side of the equation.
-5 + 5 + 10x = 18 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 18 + 5
10x = 18 + 5

Combine like terms: 18 + 5 = 23
10x = 23

Divide each side by '10'.
x = 2.3

Simplifying
x = 2.3

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