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

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


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

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

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

Remove parenthesis around (-4 + 5x)
5 + 10x = -4 + 5x

Solving
5 + 10x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
5 + 10x + -5x = -4 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
5 + 5x = -4 + 0
5 + 5x = -4

Add '-5' to each side of the equation.
5 + -5 + 5x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = -4 + -5
5x = -4 + -5

Combine like terms: -4 + -5 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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