2(3x+2-x)+2=7x-4x-3

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Solution for 2(3x+2-x)+2=7x-4x-3 equation:


Simplifying
2(3x + 2 + -1x) + 2 = 7x + -4x + -3

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

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

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

Combine like terms: 4 + 2 = 6
6 + 4x = 7x + -4x + -3

Reorder the terms:
6 + 4x = -3 + 7x + -4x

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

Solving
6 + 4x = -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.
6 + 4x + -3x = -3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
6 + 1x = -3 + 0
6 + 1x = -3

Add '-6' to each side of the equation.
6 + -6 + 1x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -3 + -6
1x = -3 + -6

Combine like terms: -3 + -6 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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