(2x+1)-(4-6x)=4x

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Solution for (2x+1)-(4-6x)=4x equation:


Simplifying
(2x + 1) + -1(4 + -6x) = 4x

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

Remove parenthesis around (1 + 2x)
1 + 2x + -1(4 + -6x) = 4x
1 + 2x + (4 * -1 + -6x * -1) = 4x
1 + 2x + (-4 + 6x) = 4x

Reorder the terms:
1 + -4 + 2x + 6x = 4x

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

Combine like terms: 2x + 6x = 8x
-3 + 8x = 4x

Solving
-3 + 8x = 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.
-3 + 8x + -4x = 4x + -4x

Combine like terms: 8x + -4x = 4x
-3 + 4x = 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 4x = 0

Add '3' to each side of the equation.
-3 + 3 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3

Combine like terms: 0 + 3 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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