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

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


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

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

Remove parenthesis around (3 + 7x)
3 + 7x = 2(2x + -1)

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

Solving
3 + 7x = -2 + 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 + 7x + -4x = -2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
3 + 3x = -2 + 0
3 + 3x = -2

Add '-3' to each side of the equation.
3 + -3 + 3x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = -2 + -3
3x = -2 + -3

Combine like terms: -2 + -3 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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