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

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


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

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

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

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

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

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

Combine like terms: 3x + -3x = 0
2 + -5x = 4 + 0
2 + -5x = 4

Add '-2' to each side of the equation.
2 + -2 + -5x = 4 + -2

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

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

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

Simplifying
x = -0.4

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