4(2x-1)-2(x+3)=5

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Solution for 4(2x-1)-2(x+3)=5 equation:


Simplifying
4(2x + -1) + -2(x + 3) = 5

Reorder the terms:
4(-1 + 2x) + -2(x + 3) = 5
(-1 * 4 + 2x * 4) + -2(x + 3) = 5
(-4 + 8x) + -2(x + 3) = 5

Reorder the terms:
-4 + 8x + -2(3 + x) = 5
-4 + 8x + (3 * -2 + x * -2) = 5
-4 + 8x + (-6 + -2x) = 5

Reorder the terms:
-4 + -6 + 8x + -2x = 5

Combine like terms: -4 + -6 = -10
-10 + 8x + -2x = 5

Combine like terms: 8x + -2x = 6x
-10 + 6x = 5

Solving
-10 + 6x = 5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 6x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 5 + 10
6x = 5 + 10

Combine like terms: 5 + 10 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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