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

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


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

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

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

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

Combine like terms: x + 4x = 5x
6 + 4x = -1 + 5x

Solving
6 + 4x = -1 + 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.
6 + 4x + -5x = -1 + 5x + -5x

Combine like terms: 4x + -5x = -1x
6 + -1x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -1x = -1 + 0
6 + -1x = -1

Add '-6' to each side of the equation.
6 + -6 + -1x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -1 + -6
-1x = -1 + -6

Combine like terms: -1 + -6 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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