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

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


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

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

Remove parenthesis around (4 + 2x)
4 + 2x + (x + 2) = 3(x + -1) + -4x

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

Remove parenthesis around (2 + x)
4 + 2x + 2 + x = 3(x + -1) + -4x

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

Combine like terms: 4 + 2 = 6
6 + 2x + x = 3(x + -1) + -4x

Combine like terms: 2x + x = 3x
6 + 3x = 3(x + -1) + -4x

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

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

Solving
6 + 3x = -3 + -1x

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
6 + 4x = -3 + 0
6 + 4x = -3

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

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

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

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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