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

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


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

Reorder the terms:
4(-5 + 2x) = 5 + -1(2x + -1)
(-5 * 4 + 2x * 4) = 5 + -1(2x + -1)
(-20 + 8x) = 5 + -1(2x + -1)

Reorder the terms:
-20 + 8x = 5 + -1(-1 + 2x)
-20 + 8x = 5 + (-1 * -1 + 2x * -1)
-20 + 8x = 5 + (1 + -2x)

Combine like terms: 5 + 1 = 6
-20 + 8x = 6 + -2x

Solving
-20 + 8x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-20 + 8x + 2x = 6 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-20 + 10x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 10x = 6 + 0
-20 + 10x = 6

Add '20' to each side of the equation.
-20 + 20 + 10x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 6 + 20
10x = 6 + 20

Combine like terms: 6 + 20 = 26
10x = 26

Divide each side by '10'.
x = 2.6

Simplifying
x = 2.6

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