4(x+1)=2x-1

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


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

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

Reorder the terms:
4 + 4x = -1 + 2x

Solving
4 + 4x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 4x + -2x = -1 + 2x + -2x

Combine like terms: 4x + -2x = 2x
4 + 2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 2x = -1 + 0
4 + 2x = -1

Add '-4' to each side of the equation.
4 + -4 + 2x = -1 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = -1 + -4
2x = -1 + -4

Combine like terms: -1 + -4 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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