3x+4(1+x)+2=5x-6

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Solution for 3x+4(1+x)+2=5x-6 equation:


Simplifying
3x + 4(1 + x) + 2 = 5x + -6
3x + (1 * 4 + x * 4) + 2 = 5x + -6
3x + (4 + 4x) + 2 = 5x + -6

Reorder the terms:
4 + 2 + 3x + 4x = 5x + -6

Combine like terms: 4 + 2 = 6
6 + 3x + 4x = 5x + -6

Combine like terms: 3x + 4x = 7x
6 + 7x = 5x + -6

Reorder the terms:
6 + 7x = -6 + 5x

Solving
6 + 7x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 7x + -5x = -6 + 5x + -5x

Combine like terms: 7x + -5x = 2x
6 + 2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 2x = -6 + 0
6 + 2x = -6

Add '-6' to each side of the equation.
6 + -6 + 2x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -6 + -6
2x = -6 + -6

Combine like terms: -6 + -6 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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