2x+8-4(x+1)=3x+6

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Solution for 2x+8-4(x+1)=3x+6 equation:


Simplifying
2x + 8 + -4(x + 1) = 3x + 6

Reorder the terms:
2x + 8 + -4(1 + x) = 3x + 6
2x + 8 + (1 * -4 + x * -4) = 3x + 6
2x + 8 + (-4 + -4x) = 3x + 6

Reorder the terms:
8 + -4 + 2x + -4x = 3x + 6

Combine like terms: 8 + -4 = 4
4 + 2x + -4x = 3x + 6

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

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

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

Combine like terms: -2x + -3x = -5x
4 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -5x = 6 + 0
4 + -5x = 6

Add '-4' to each side of the equation.
4 + -4 + -5x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 6 + -4
-5x = 6 + -4

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

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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