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

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


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

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

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

Combine like terms: 5 + -5 = 0
0 + 10x = 2(4x + -2)
10x = 2(4x + -2)

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

Solving
10x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
10x + -8x = -4 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
2x = -4 + 0
2x = -4

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

Simplifying
x = -2

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