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

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


Simplifying
2(x + 1) + 4x = 4(x + -2) + 6

Reorder the terms:
2(1 + x) + 4x = 4(x + -2) + 6
(1 * 2 + x * 2) + 4x = 4(x + -2) + 6
(2 + 2x) + 4x = 4(x + -2) + 6

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

Reorder the terms:
2 + 6x = 4(-2 + x) + 6
2 + 6x = (-2 * 4 + x * 4) + 6
2 + 6x = (-8 + 4x) + 6

Reorder the terms:
2 + 6x = -8 + 6 + 4x

Combine like terms: -8 + 6 = -2
2 + 6x = -2 + 4x

Solving
2 + 6x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 6x + -4x = -2 + 4x + -4x

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

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

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

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

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

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

Simplifying
x = -2

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