2(2x+1)=3x-7x

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Solution for 2(2x+1)=3x-7x equation:


Simplifying
2(2x + 1) = 3x + -7x

Reorder the terms:
2(1 + 2x) = 3x + -7x
(1 * 2 + 2x * 2) = 3x + -7x
(2 + 4x) = 3x + -7x

Combine like terms: 3x + -7x = -4x
2 + 4x = -4x

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 8x = 0 + -2

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

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

Divide each side by '8'.
x = -0.25

Simplifying
x = -0.25

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