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

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


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

Reorder the terms:
6 + 3x = 4(x + 1) + -2

Reorder the terms:
6 + 3x = 4(1 + x) + -2
6 + 3x = (1 * 4 + x * 4) + -2
6 + 3x = (4 + 4x) + -2

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

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

Solving
6 + 3x = 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.
6 + 3x + -4x = 2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 2 + 0
6 + -1x = 2

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

Combine like terms: 6 + -6 = 0
0 + -1x = 2 + -6
-1x = 2 + -6

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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