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

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


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

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

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

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

Solving
-5 + 2x = 8 + 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.
-5 + 2x + -4x = 8 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-5 + -2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -2x = 8 + 0
-5 + -2x = 8

Add '5' to each side of the equation.
-5 + 5 + -2x = 8 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 8 + 5
-2x = 8 + 5

Combine like terms: 8 + 5 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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