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

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


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

Reorder the terms:
4(-5 + 2x) = (2x) * 2 + 3(x + 2)
(-5 * 4 + 2x * 4) = (2x) * 2 + 3(x + 2)
(-20 + 8x) = (2x) * 2 + 3(x + 2)

Remove parenthesis around (2x)
-20 + 8x = 2x * 2 + 3(x + 2)

Reorder the terms for easier multiplication:
-20 + 8x = 2 * 2x + 3(x + 2)

Multiply 2 * 2
-20 + 8x = 4x + 3(x + 2)

Reorder the terms:
-20 + 8x = 4x + 3(2 + x)
-20 + 8x = 4x + (2 * 3 + x * 3)
-20 + 8x = 4x + (6 + 3x)

Reorder the terms:
-20 + 8x = 6 + 4x + 3x

Combine like terms: 4x + 3x = 7x
-20 + 8x = 6 + 7x

Solving
-20 + 8x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-20 + 8x + -7x = 6 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-20 + 1x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-20 + 1x = 6 + 0
-20 + 1x = 6

Add '20' to each side of the equation.
-20 + 20 + 1x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = 6 + 20
1x = 6 + 20

Combine like terms: 6 + 20 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26

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