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

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


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

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

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

Solving
5 + 10x = -4 + 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.
5 + 10x + -4x = -4 + 4x + -4x

Combine like terms: 10x + -4x = 6x
5 + 6x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 6x = -4 + 0
5 + 6x = -4

Add '-5' to each side of the equation.
5 + -5 + 6x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = -4 + -5
6x = -4 + -5

Combine like terms: -4 + -5 = -9
6x = -9

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5

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