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

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


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

Reorder the terms:
4(-5 + 2x) = 2(2x) + 2(x + 2)
(-5 * 4 + 2x * 4) = 2(2x) + 2(x + 2)
(-20 + 8x) = 2(2x) + 2(x + 2)

Remove parenthesis around (2x)
-20 + 8x = 2 * 2x + 2(x + 2)

Multiply 2 * 2
-20 + 8x = 4x + 2(x + 2)

Reorder the terms:
-20 + 8x = 4x + 2(2 + x)
-20 + 8x = 4x + (2 * 2 + x * 2)
-20 + 8x = 4x + (4 + 2x)

Reorder the terms:
-20 + 8x = 4 + 4x + 2x

Combine like terms: 4x + 2x = 6x
-20 + 8x = 4 + 6x

Solving
-20 + 8x = 4 + 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.
-20 + 8x + -6x = 4 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-20 + 2x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + 2x = 4 + 0
-20 + 2x = 4

Add '20' to each side of the equation.
-20 + 20 + 2x = 4 + 20

Combine like terms: -20 + 20 = 0
0 + 2x = 4 + 20
2x = 4 + 20

Combine like terms: 4 + 20 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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