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

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


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

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

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

Combine like terms: 4x + -5x = -1x
6 + -1x = 2(x + 6)

Reorder the terms:
6 + -1x = 2(6 + x)
6 + -1x = (6 * 2 + x * 2)
6 + -1x = (12 + 2x)

Solving
6 + -1x = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -1x + -2x = 12 + 2x + -2x

Combine like terms: -1x + -2x = -3x
6 + -3x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -3x = 12 + 0
6 + -3x = 12

Add '-6' to each side of the equation.
6 + -6 + -3x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 12 + -6
-3x = 12 + -6

Combine like terms: 12 + -6 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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