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

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


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

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

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

Combine like terms: 7x + 2x = 9x
4 + 9x = 3(x + -1)

Reorder the terms:
4 + 9x = 3(-1 + x)
4 + 9x = (-1 * 3 + x * 3)
4 + 9x = (-3 + 3x)

Solving
4 + 9x = -3 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
4 + 9x + -3x = -3 + 3x + -3x

Combine like terms: 9x + -3x = 6x
4 + 6x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 6x = -3 + 0
4 + 6x = -3

Add '-4' to each side of the equation.
4 + -4 + 6x = -3 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = -3 + -4
6x = -3 + -4

Combine like terms: -3 + -4 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667

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