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

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


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

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

Combine like terms: 4x + -2x = 2x
20 + 2x = 2(2x + 1) + -5

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

Reorder the terms:
20 + 2x = 2 + -5 + 4x

Combine like terms: 2 + -5 = -3
20 + 2x = -3 + 4x

Solving
20 + 2x = -3 + 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.
20 + 2x + -4x = -3 + 4x + -4x

Combine like terms: 2x + -4x = -2x
20 + -2x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -2x = -3 + 0
20 + -2x = -3

Add '-20' to each side of the equation.
20 + -20 + -2x = -3 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -3 + -20
-2x = -3 + -20

Combine like terms: -3 + -20 = -23
-2x = -23

Divide each side by '-2'.
x = 11.5

Simplifying
x = 11.5

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