2(2x+5)=8-(4x-5)

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Solution for 2(2x+5)=8-(4x-5) equation:


Simplifying
2(2x + 5) = 8 + -1(4x + -5)

Reorder the terms:
2(5 + 2x) = 8 + -1(4x + -5)
(5 * 2 + 2x * 2) = 8 + -1(4x + -5)
(10 + 4x) = 8 + -1(4x + -5)

Reorder the terms:
10 + 4x = 8 + -1(-5 + 4x)
10 + 4x = 8 + (-5 * -1 + 4x * -1)
10 + 4x = 8 + (5 + -4x)

Combine like terms: 8 + 5 = 13
10 + 4x = 13 + -4x

Solving
10 + 4x = 13 + -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.
10 + 4x + 4x = 13 + -4x + 4x

Combine like terms: 4x + 4x = 8x
10 + 8x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 8x = 13 + 0
10 + 8x = 13

Add '-10' to each side of the equation.
10 + -10 + 8x = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 13 + -10
8x = 13 + -10

Combine like terms: 13 + -10 = 3
8x = 3

Divide each side by '8'.
x = 0.375

Simplifying
x = 0.375

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