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

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


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

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

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

Solving
2 + 4x = 5 + -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.
2 + 4x + 5x = 5 + -5x + 5x

Combine like terms: 4x + 5x = 9x
2 + 9x = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 9x = 5 + 0
2 + 9x = 5

Add '-2' to each side of the equation.
2 + -2 + 9x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 5 + -2
9x = 5 + -2

Combine like terms: 5 + -2 = 3
9x = 3

Divide each side by '9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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