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

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


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

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

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

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

Solving
-5 + 4x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5 + 4x + -2x = 6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-5 + 2x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 2x = 6 + 0
-5 + 2x = 6

Add '5' to each side of the equation.
-5 + 5 + 2x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 6 + 5
2x = 6 + 5

Combine like terms: 6 + 5 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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