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

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


Simplifying
2(x + 4) + 5x = 3x + -4

Reorder the terms:
2(4 + x) + 5x = 3x + -4
(4 * 2 + x * 2) + 5x = 3x + -4
(8 + 2x) + 5x = 3x + -4

Combine like terms: 2x + 5x = 7x
8 + 7x = 3x + -4

Reorder the terms:
8 + 7x = -4 + 3x

Solving
8 + 7x = -4 + 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.
8 + 7x + -3x = -4 + 3x + -3x

Combine like terms: 7x + -3x = 4x
8 + 4x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 4x = -4 + 0
8 + 4x = -4

Add '-8' to each side of the equation.
8 + -8 + 4x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = -4 + -8
4x = -4 + -8

Combine like terms: -4 + -8 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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