2x+4(x-1)=3-(2x+1)

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Solution for 2x+4(x-1)=3-(2x+1) equation:


Simplifying
2x + 4(x + -1) = 3 + -1(2x + 1)

Reorder the terms:
2x + 4(-1 + x) = 3 + -1(2x + 1)
2x + (-1 * 4 + x * 4) = 3 + -1(2x + 1)
2x + (-4 + 4x) = 3 + -1(2x + 1)

Reorder the terms:
-4 + 2x + 4x = 3 + -1(2x + 1)

Combine like terms: 2x + 4x = 6x
-4 + 6x = 3 + -1(2x + 1)

Reorder the terms:
-4 + 6x = 3 + -1(1 + 2x)
-4 + 6x = 3 + (1 * -1 + 2x * -1)
-4 + 6x = 3 + (-1 + -2x)

Combine like terms: 3 + -1 = 2
-4 + 6x = 2 + -2x

Solving
-4 + 6x = 2 + -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 + 6x + 2x = 2 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-4 + 8x = 2 + -2x + 2x

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

Add '4' to each side of the equation.
-4 + 4 + 8x = 2 + 4

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

Combine like terms: 2 + 4 = 6
8x = 6

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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