4(2x-1)=2(2x+3)+3

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Solution for 4(2x-1)=2(2x+3)+3 equation:


Simplifying
4(2x + -1) = 2(2x + 3) + 3

Reorder the terms:
4(-1 + 2x) = 2(2x + 3) + 3
(-1 * 4 + 2x * 4) = 2(2x + 3) + 3
(-4 + 8x) = 2(2x + 3) + 3

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

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

Combine like terms: 6 + 3 = 9
-4 + 8x = 9 + 4x

Solving
-4 + 8x = 9 + 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.
-4 + 8x + -4x = 9 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-4 + 4x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 4x = 9 + 0
-4 + 4x = 9

Add '4' to each side of the equation.
-4 + 4 + 4x = 9 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 9 + 4
4x = 9 + 4

Combine like terms: 9 + 4 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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