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

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


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

Reorder the terms:
2 + 3(6 + x) + 4x = 5x + -4
2 + (6 * 3 + x * 3) + 4x = 5x + -4
2 + (18 + 3x) + 4x = 5x + -4

Combine like terms: 2 + 18 = 20
20 + 3x + 4x = 5x + -4

Combine like terms: 3x + 4x = 7x
20 + 7x = 5x + -4

Reorder the terms:
20 + 7x = -4 + 5x

Solving
20 + 7x = -4 + 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.
20 + 7x + -5x = -4 + 5x + -5x

Combine like terms: 7x + -5x = 2x
20 + 2x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + 2x = -4 + 0
20 + 2x = -4

Add '-20' to each side of the equation.
20 + -20 + 2x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = -4 + -20
2x = -4 + -20

Combine like terms: -4 + -20 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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